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Finding the Fourth Proportional to 84.24, 125.46 and 82.11

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Solution

The fourth proportional to 84.24, 125.46 and 82.11 is: 122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.24 : 125.46 = 82.11 : x
  2. Step 2: Convert to fraction form
    84.24/125.46 = 82.11/x
  3. Step 3: Cross multiply
    84.24x = 125.46 × 82.11
  4. Step 4: Simplify right side
    84.24x = 10,301.52
  5. Step 5: Solve for x
    x = 10,301.52/84.24
  6. Step 6: Final answer
    x = 122.29

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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.