$4.$Three spur gears are used in a machine for a simple gear ratio. The driving gear has $16$ teeth, the idler gear has a pitch diameter of $2\mathrm{.}5$ inches and a diametral pitch of $14\mathrm{.}4$ inches. The driven gear has $96$ teeth. How many teeth does the idler gear have?$5.$Three spur gears are used in a machine for a simple gear ratio. The driving gear has $16$ teeth, the idler gear has a pitch diameter of $2\mathrm{.}5$ inches and a diametral pitch of $14\mathrm{.}4$ inches. The driven gear has $96$ teeth. Whais the outside diameter of the idler gea?

$4.$Three spur gears are used in a machine for a simple gear ratio. The driving gear has $16$ teeth, the idler gear has a pitch diameter of $2\mathrm{.}5$ inches and a diametral pitch of $14\mathrm{.}4$ inches. The driven gear has $96$ teeth. How many teeth does the idler gear have?

$5.$Three spur gears are used in a machine for a simple gear ratio. The driving gear has $16$ teeth, the idler gear has a pitch diameter of $2\mathrm{.}5$ inches and a diametral pitch of $14\mathrm{.}4$ inches. The driven gear has $96$ teeth. What is the outside diameter of the idler gear?