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Finding the Fourth Proportional to 83.97, 125.82 and 71.82

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Solution

The fourth proportional to 83.97, 125.82 and 71.82 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.97 : 125.82 = 71.82 : x
  2. Step 2: Convert to fraction form
    83.97/125.82 = 71.82/x
  3. Step 3: Cross multiply
    83.97x = 125.82 × 71.82
  4. Step 4: Simplify right side
    83.97x = 9,036.39
  5. Step 5: Solve for x
    x = 9,036.39/83.97
  6. Step 6: Final answer
    x = 107.61

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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.