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Finding the Fourth Proportional to 84.11, 115.82 and 82.31

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Solution

The fourth proportional to 84.11, 115.82 and 82.31 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.11 : 115.82 = 82.31 : x
  2. Step 2: Convert to fraction form
    84.11/115.82 = 82.31/x
  3. Step 3: Cross multiply
    84.11x = 115.82 × 82.31
  4. Step 4: Simplify right side
    84.11x = 9,532.46
  5. Step 5: Solve for x
    x = 9,532.46/84.11
  6. Step 6: Final answer
    x = 113.34

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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.