Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.

<image>The area of trapezoid $JKLM$ is 138 square feet. The area of trapezoid $QRST$ is 5.52 square feet. If trapezoid $J K L M$ $ \sim$ trapezoid $QRST$, find the scale factor from trapezoid $JKLM$ to trapezoid $QRST$.