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Finding the Fourth Proportional to 100.12, 138.04 and 82.62

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Solution

The fourth proportional to 100.12, 138.04 and 82.62 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.12 : 138.04 = 82.62 : x
  2. Step 2: Convert to fraction form
    100.12/138.04 = 82.62/x
  3. Step 3: Cross multiply
    100.12x = 138.04 × 82.62
  4. Step 4: Simplify right side
    100.12x = 11,404.86
  5. Step 5: Solve for x
    x = 11,404.86/100.12
  6. Step 6: Final answer
    x = 113.91

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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.