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Finding the Fourth Proportional to 87.66, 120.99 and 61.49

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Solution

The fourth proportional to 87.66, 120.99 and 61.49 is: 84.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.66 : 120.99 = 61.49 : x
  2. Step 2: Convert to fraction form
    87.66/120.99 = 61.49/x
  3. Step 3: Cross multiply
    87.66x = 120.99 × 61.49
  4. Step 4: Simplify right side
    87.66x = 7,439.07
  5. Step 5: Solve for x
    x = 7,439.07/87.66
  6. Step 6: Final answer
    x = 84.86

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Why These Related Problems?

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