Finding the Fourth Proportional to 137.97, 207.08 and 104.91
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Solution
The fourth proportional to 137.97, 207.08 and 104.91 is: 157.46
Step by Step Solution
- Step 1: Write the proportion equation
137.97 : 207.08 = 104.91 : x - Step 2: Convert to fraction form
137.97/207.08 = 104.91/x - Step 3: Cross multiply
137.97x = 207.08 × 104.91 - Step 4: Simplify right side
137.97x = 21,724.24 - Step 5: Solve for x
x = 21,724.24/137.97 - Step 6: Final answer
x = 157.46
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.