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Finding the Fourth Proportional to 100.20, 138.32 and 76.89

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Solution

The fourth proportional to 100.20, 138.32 and 76.89 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 138.32 = 76.89 : x
  2. Step 2: Convert to fraction form
    100.20/138.32 = 76.89/x
  3. Step 3: Cross multiply
    100.20x = 138.32 × 76.89
  4. Step 4: Simplify right side
    100.20x = 10,635.04
  5. Step 5: Solve for x
    x = 10,635.04/100.20
  6. Step 6: Final answer
    x = 106.14

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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.