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Finding the Fourth Proportional to 83.24, 124.70 and 77.61

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Solution

The fourth proportional to 83.24, 124.70 and 77.61 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.24 : 124.70 = 77.61 : x
  2. Step 2: Convert to fraction form
    83.24/124.70 = 77.61/x
  3. Step 3: Cross multiply
    83.24x = 124.70 × 77.61
  4. Step 4: Simplify right side
    83.24x = 9,677.58
  5. Step 5: Solve for x
    x = 9,677.58/83.24
  6. Step 6: Final answer
    x = 116.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.