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Finding the Fourth Proportional to 87.96, 131.82 and 39.14

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Solution

The fourth proportional to 87.96, 131.82 and 39.14 is: 58.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.96 : 131.82 = 39.14 : x
  2. Step 2: Convert to fraction form
    87.96/131.82 = 39.14/x
  3. Step 3: Cross multiply
    87.96x = 131.82 × 39.14
  4. Step 4: Simplify right side
    87.96x = 5,159.43
  5. Step 5: Solve for x
    x = 5,159.43/87.96
  6. Step 6: Final answer
    x = 58.66

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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.