A computer case fan is always working against some amount of airflow restriction- thru the grilles, around corners etc, so it always moves less air than if it were suspended out in the open. Adding an intake fan to a case with an exhaust fan helps overcome restriction, improving airflow.
The effect varies a lot from one case design to another, however. The front plastic bezel designs of most computer cases have lousy airflow characteristics, and front fans often achieve more recirculation under the bezel than actual intake. Because many cases have vent slots down low in the side panels, it is often best to put the only fan or the most powerful fan blowing out the back behind the processor. The popular Enlight 7237 is only one example like this. The front fan can't pull diddly thru the small slot under the front of the bezel, and the holes in the front are a joke. lots of air recirculates under the bezel. It does, however, have all those nice vent slots on the bottom of the side cover, so move the fan to the back and voila, better cooling.
This all changes in a case with low restriction bezel and front intake filters, of course. Then the strongest fans should be in the front, behind the filter, so that intake air is actually filtered....