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Finding the Fourth Proportional to 73.97, 110.96 and 67.37

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Solution

The fourth proportional to 73.97, 110.96 and 67.37 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 110.96 = 67.37 : x
  2. Step 2: Convert to fraction form
    73.97/110.96 = 67.37/x
  3. Step 3: Cross multiply
    73.97x = 110.96 × 67.37
  4. Step 4: Simplify right side
    73.97x = 7,475.82
  5. Step 5: Solve for x
    x = 7,475.82/73.97
  6. Step 6: Final answer
    x = 101.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.