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Finding the Fourth Proportional to 83.80, 126.17 and 69.48

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Solution

The fourth proportional to 83.80, 126.17 and 69.48 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.80 : 126.17 = 69.48 : x
  2. Step 2: Convert to fraction form
    83.80/126.17 = 69.48/x
  3. Step 3: Cross multiply
    83.80x = 126.17 × 69.48
  4. Step 4: Simplify right side
    83.80x = 8,766.29
  5. Step 5: Solve for x
    x = 8,766.29/83.80
  6. Step 6: Final answer
    x = 104.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.