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Finding the Fourth Proportional to 87.60, 130.62 and 83.64

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Solution

The fourth proportional to 87.60, 130.62 and 83.64 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.60 : 130.62 = 83.64 : x
  2. Step 2: Convert to fraction form
    87.60/130.62 = 83.64/x
  3. Step 3: Cross multiply
    87.60x = 130.62 × 83.64
  4. Step 4: Simplify right side
    87.60x = 10,925.06
  5. Step 5: Solve for x
    x = 10,925.06/87.60
  6. Step 6: Final answer
    x = 124.72

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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.