
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
If three numbers are in geometric progression and the numbers are of the form $10+y$, $40+y$, and $90+y$, find the common ratio $r$ of the progression.
A) $\frac{4}{3}$
B) $\frac{3}{2}$
C) $\frac{5}{3}$
D) $\frac{2}{1}$

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