Pace chose Michigan State running back Jeremy Langford on Saturday with the 106th overall pick.
The 6-foot, 208-pounder ran for 1,522 yards on 276 carries with 22 touchdowns last season after rushing for 1,422 and 18 touchdowns in 2013.
The Bears finally turned to the defensive side in the fifth round with the selection of Penn State's Adrian Amos, a 6-foot, 218-pound free safety. Amos made seven career interceptions.
They added another offensive lineman in the sixth round with 6-foot-6, 353-pound BYU tackle Tayo Fabuluje.
The Bears have no seventh-round pick.
Chicago selected West Virginia wide receiver Kevin White in the Thursday's first round, then Florida State nose tackle Eddie Goldman in the second round and Oregon center Hroniss Grasu in the third round on Friday.
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