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Finding the Fourth Proportional to 83.66, 115.38 and 82.17

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Solution

The fourth proportional to 83.66, 115.38 and 82.17 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.66 : 115.38 = 82.17 : x
  2. Step 2: Convert to fraction form
    83.66/115.38 = 82.17/x
  3. Step 3: Cross multiply
    83.66x = 115.38 × 82.17
  4. Step 4: Simplify right side
    83.66x = 9,480.77
  5. Step 5: Solve for x
    x = 9,480.77/83.66
  6. Step 6: Final answer
    x = 113.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.