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Finding the Fourth Proportional to 87.84, 131.22 and 83.40

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Solution

The fourth proportional to 87.84, 131.22 and 83.40 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 131.22 = 83.40 : x
  2. Step 2: Convert to fraction form
    87.84/131.22 = 83.40/x
  3. Step 3: Cross multiply
    87.84x = 131.22 × 83.40
  4. Step 4: Simplify right side
    87.84x = 10,943.75
  5. Step 5: Solve for x
    x = 10,943.75/87.84
  6. Step 6: Final answer
    x = 124.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.