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Finding the Fourth Proportional to 83.97, 125.13 and 78.74

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Solution

The fourth proportional to 83.97, 125.13 and 78.74 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.97 : 125.13 = 78.74 : x
  2. Step 2: Convert to fraction form
    83.97/125.13 = 78.74/x
  3. Step 3: Cross multiply
    83.97x = 125.13 × 78.74
  4. Step 4: Simplify right side
    83.97x = 9,852.11
  5. Step 5: Solve for x
    x = 9,852.11/83.97
  6. Step 6: Final answer
    x = 117.33

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Why These Related Problems?

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