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Finding the Fourth Proportional to 80.32, 110.86 and 66.48

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Solution

The fourth proportional to 80.32, 110.86 and 66.48 is: 91.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.32 : 110.86 = 66.48 : x
  2. Step 2: Convert to fraction form
    80.32/110.86 = 66.48/x
  3. Step 3: Cross multiply
    80.32x = 110.86 × 66.48
  4. Step 4: Simplify right side
    80.32x = 7,369.97
  5. Step 5: Solve for x
    x = 7,369.97/80.32
  6. Step 6: Final answer
    x = 91.76

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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.