$4\mathrm{.}33$ A distance was measured with a $\backslash (100-\backslash$mathrm$\{$ft$\}\backslash )$ steel tape at a temperature of $\backslash (104^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$ and found to be $4118\mathrm{.}46$ ft $.$ The next winter the distance was remeasured with the same tape at a temperature of $\backslash (22^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$ and was found to be $4116\mathrm{.}12$ ft $.$ What part of the discrepancy between the two measurements should be caused by the temperature difference?

$($Ans$.$: $2\mathrm{.}19$ ft $)$