was also sent crashing out of Wimbledon, beaten 6-3 3-6 6-3 6-3 by qualifier Lukasz Kubot.
Their match resumed on Court Three at one set all and 3-3 on Saturday after being bit by bad weather on Friday.
Juan Martin Del Potro
set up a clash with defending champion Rafael Nadal after knocking out 15th seed Gilles Simon 7-6 (10-8) 7-6 (7-5) 7-5.
The 6ft 6in Argentine won to love on his service to seal victory, smashing a 126mph ace to finish off the Frenchman.
Del Potro's power and precision punishes Simon
Nadal, who beat Luxembourg's Gilles Muller to reach the fourth round, said of Del Potro: "He's a fantastic player, one of the best in the world.
"He had an important injury last year, but he's here now and he's at his top level."
, last year's beaten Wimbledon finalist, cruised into the fourth round with an easy win over Alex Bogomolov Jr.
The sixth seed from the Czech Republic saw off his American opponent 6-2 6-4 6-3 on Court 18.
Bogomolov Jr said: "Thomas got to the final last year for a reason. He's playing really well on grass and hitting some incredible shots on the run."
In the fourth round, Berdych will face another American, 10th seed
Fish progressed after third-round opponent Robin Haase of the Netherlands retired with an injury, with the score at 6-3 6-7 (5-7) 6-2 1-1.
Kubot, who won three qualifying matches to get into the main draw and also reached the last 16 at the 2010 Australian Open, next plays Spain's Feliciano Lopez.
Spanish seventh seed
eased into the second week with a 6-4 6-3 6-3 win over Slovakia's Karol Beck, and he now plays
French 12th seed Tsonga had a similarly comfortable passage into the fourth round, beating Fernando Gonzalez of Chile 6-3 6-4 6-3.
seeded 19th, will face second seed Novak Djokovic next after overcoming Yen-Hsun Lu 6-3 6-3 6-1.
will take on six-time champion Roger Federer after recovering from the loss of the opening set to grind out a 4-6 6-3 7-6 (7-3) 6-3 victory over Spain's Nicolas Almagro.
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