Geometry Help PLEASE!!!

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Geometry Help PLEASE!!!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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So, what was stated, by mere definition implies that: \[\triangle SPT \sim \triangle RPQ \] This implies: \[\frac{ PS }{ PR }=\frac{ PT }{ PQ }=\frac{ ST }{ RQ }=k\] And that "k" is the proportionality coefficient. We do not need to know it, so we will relate the information we have: \[\frac{ PS }{ PR }=\frac{ PT }{ PQ }\] Those are the segment we will focus on in order to find what (60+x) is valued, and 60+x IS the segment PR: \[\frac{ 60 }{ 60+x }=\frac{ 48 }{ 48+36 }\] And solving for the whole expression "60+x" we just perform the proportion: \[60(48+36)=48(60+x)\] And isolate "60+x": \[60+x=\frac{ 60(48+36) }{ 48 }\]
Thank you so much!
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