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Finding the Fourth Proportional to 87.56, 131.42 and 71.49

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Solution

The fourth proportional to 87.56, 131.42 and 71.49 is: 107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.56 : 131.42 = 71.49 : x
  2. Step 2: Convert to fraction form
    87.56/131.42 = 71.49/x
  3. Step 3: Cross multiply
    87.56x = 131.42 × 71.49
  4. Step 4: Simplify right side
    87.56x = 9,395.22
  5. Step 5: Solve for x
    x = 9,395.22/87.56
  6. Step 6: Final answer
    x = 107.30

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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.