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Finding the Fourth Proportional to 100.07, 138.02 and 76.73

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Solution

The fourth proportional to 100.07, 138.02 and 76.73 is: 105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.07 : 138.02 = 76.73 : x
  2. Step 2: Convert to fraction form
    100.07/138.02 = 76.73/x
  3. Step 3: Cross multiply
    100.07x = 138.02 × 76.73
  4. Step 4: Simplify right side
    100.07x = 10,589.20
  5. Step 5: Solve for x
    x = 10,589.20/100.07
  6. Step 6: Final answer
    x = 105.82

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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.