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Finding the Fourth Proportional to 87.32, 130.86 and 61.64

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Solution

The fourth proportional to 87.32, 130.86 and 61.64 is: 92.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.32 : 130.86 = 61.64 : x
  2. Step 2: Convert to fraction form
    87.32/130.86 = 61.64/x
  3. Step 3: Cross multiply
    87.32x = 130.86 × 61.64
  4. Step 4: Simplify right side
    87.32x = 8,066.21
  5. Step 5: Solve for x
    x = 8,066.21/87.32
  6. Step 6: Final answer
    x = 92.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.