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Finding the Fourth Proportional to 87.96, 131.54 and 64.91

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Solution

The fourth proportional to 87.96, 131.54 and 64.91 is: 97.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.96 : 131.54 = 64.91 : x
  2. Step 2: Convert to fraction form
    87.96/131.54 = 64.91/x
  3. Step 3: Cross multiply
    87.96x = 131.54 × 64.91
  4. Step 4: Simplify right side
    87.96x = 8,538.27
  5. Step 5: Solve for x
    x = 8,538.27/87.96
  6. Step 6: Final answer
    x = 97.07

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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.