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Finding the Fourth Proportional to 87.84, 120.72 and 81.60

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Solution

The fourth proportional to 87.84, 120.72 and 81.60 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 120.72 = 81.60 : x
  2. Step 2: Convert to fraction form
    87.84/120.72 = 81.60/x
  3. Step 3: Cross multiply
    87.84x = 120.72 × 81.60
  4. Step 4: Simplify right side
    87.84x = 9,850.75
  5. Step 5: Solve for x
    x = 9,850.75/87.84
  6. Step 6: Final answer
    x = 112.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.