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Finding the Fourth Proportional to 87.96, 131.80 and 57.52

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Solution

The fourth proportional to 87.96, 131.80 and 57.52 is: 86.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.96 : 131.80 = 57.52 : x
  2. Step 2: Convert to fraction form
    87.96/131.80 = 57.52/x
  3. Step 3: Cross multiply
    87.96x = 131.80 × 57.52
  4. Step 4: Simplify right side
    87.96x = 7,581.14
  5. Step 5: Solve for x
    x = 7,581.14/87.96
  6. Step 6: Final answer
    x = 86.19

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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.