
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Points $X$, $Y$, $Z$, and $W$ lie on a straight line in that order. If $XY=3$ units, $YZ=4$ units, and $XW=20$ units, what is the ratio of $XZ$ to $YW$? Additionally, find the ratio of $YZ$ to $XW$.

Present the answer in LaTex format: \boxed{Your answer}
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