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Finding the Fourth Proportional to 83.73, 126.10 and 70.97

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Solution

The fourth proportional to 83.73, 126.10 and 70.97 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.73 : 126.10 = 70.97 : x
  2. Step 2: Convert to fraction form
    83.73/126.10 = 70.97/x
  3. Step 3: Cross multiply
    83.73x = 126.10 × 70.97
  4. Step 4: Simplify right side
    83.73x = 8,949.45
  5. Step 5: Solve for x
    x = 8,949.45/83.73
  6. Step 6: Final answer
    x = 106.88

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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.