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Finding the Fourth Proportional to 87.58, 130.82 and 87.12

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Solution

The fourth proportional to 87.58, 130.82 and 87.12 is: 130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.58 : 130.82 = 87.12 : x
  2. Step 2: Convert to fraction form
    87.58/130.82 = 87.12/x
  3. Step 3: Cross multiply
    87.58x = 130.82 × 87.12
  4. Step 4: Simplify right side
    87.58x = 11,397.04
  5. Step 5: Solve for x
    x = 11,397.04/87.58
  6. Step 6: Final answer
    x = 130.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.