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Finding the Fourth Proportional to 80.42, 110.61 and 67.46

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Solution

The fourth proportional to 80.42, 110.61 and 67.46 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.42 : 110.61 = 67.46 : x
  2. Step 2: Convert to fraction form
    80.42/110.61 = 67.46/x
  3. Step 3: Cross multiply
    80.42x = 110.61 × 67.46
  4. Step 4: Simplify right side
    80.42x = 7,461.75
  5. Step 5: Solve for x
    x = 7,461.75/80.42
  6. Step 6: Final answer
    x = 92.78

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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.