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Finding the Fourth Proportional to 87.41, 131.14 and 71.12

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Solution

The fourth proportional to 87.41, 131.14 and 71.12 is: 106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.41 : 131.14 = 71.12 : x
  2. Step 2: Convert to fraction form
    87.41/131.14 = 71.12/x
  3. Step 3: Cross multiply
    87.41x = 131.14 × 71.12
  4. Step 4: Simplify right side
    87.41x = 9,327.18
  5. Step 5: Solve for x
    x = 9,327.18/87.41
  6. Step 6: Final answer
    x = 106.70

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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.