*Problem #68*

Triangle *ABC* is a right triangle with the right angle at *A*.
The midpoint of *BC* is *D*. Points *X*, *Y*,
and*Z* divide *AB* into four congruent segments. Lines
*CX*, *CY*, and *CZ* meet line *AD* in *P*,
*Q*, and *R* respectively. Find the ratio of the lengths of
*PQ* and *QR*.
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Source: Swedish Mathematical Contest
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