Resuming on 75 for three, India grabbed the five Australian wickets while giving away 95 runs in 46 overs, before the two teams went to lunch on the fifth and final day at the Punjab Cricket Association Stadium.
At lunch, Australia were ahead by 79 runs, with Brad Haddin and Mitchell Starc batting on 23 and nine respectively.
With 98 overs to be bowled today, 46 of which has already been delivered, India will look to bundle out the visitors as quickly as possible and then chase down the target within the stipulated overs.
Leading the four-match series 2-0, India, since playing their first official match 81 years ago in 1932, have never won more than two matches against Australia in the longer format of the game.
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Left-arm spinner Ravindra Jadeja again turned out to be the star performer for India, picking up the wickets of Henriques (2) and Clarke (18) -- this was the fifth time in six outings that the Saurashtra player had taken the Australian skipper's wicket.
Clarke survived 49 balls for his 18 while hitting three boundaries, before Jadeja came back to get his bunny, caught at forward short-leg by Cheteshwar Pujara who held on the catch after the Aussie got an inside edge onto his pads.