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Finding the Fourth Proportional to 102.10, 140.97 and 82.39

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Solution

The fourth proportional to 102.10, 140.97 and 82.39 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.10 : 140.97 = 82.39 : x
  2. Step 2: Convert to fraction form
    102.10/140.97 = 82.39/x
  3. Step 3: Cross multiply
    102.10x = 140.97 × 82.39
  4. Step 4: Simplify right side
    102.10x = 11,614.52
  5. Step 5: Solve for x
    x = 11,614.52/102.10
  6. Step 6: Final answer
    x = 113.76

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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.