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Finding the Fourth Proportional to 87.09, 130.43 and 66.64

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Solution

The fourth proportional to 87.09, 130.43 and 66.64 is: 99.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.09 : 130.43 = 66.64 : x
  2. Step 2: Convert to fraction form
    87.09/130.43 = 66.64/x
  3. Step 3: Cross multiply
    87.09x = 130.43 × 66.64
  4. Step 4: Simplify right side
    87.09x = 8,691.70
  5. Step 5: Solve for x
    x = 8,691.70/87.09
  6. Step 6: Final answer
    x = 99.80

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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.