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Finding the Fourth Proportional to 87.74, 120.84 and 81.25

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Solution

The fourth proportional to 87.74, 120.84 and 81.25 is: 111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 120.84 = 81.25 : x
  2. Step 2: Convert to fraction form
    87.74/120.84 = 81.25/x
  3. Step 3: Cross multiply
    87.74x = 120.84 × 81.25
  4. Step 4: Simplify right side
    87.74x = 9,818.25
  5. Step 5: Solve for x
    x = 9,818.25/87.74
  6. Step 6: Final answer
    x = 111.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.