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Finding the Fourth Proportional to 100.20, 138.38 and 81.96

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Solution

The fourth proportional to 100.20, 138.38 and 81.96 is: 113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 138.38 = 81.96 : x
  2. Step 2: Convert to fraction form
    100.20/138.38 = 81.96/x
  3. Step 3: Cross multiply
    100.20x = 138.38 × 81.96
  4. Step 4: Simplify right side
    100.20x = 11,341.62
  5. Step 5: Solve for x
    x = 11,341.62/100.20
  6. Step 6: Final answer
    x = 113.19

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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.