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Finding the Fourth Proportional to 80.14, 110.52 and 61.72

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Solution

The fourth proportional to 80.14, 110.52 and 61.72 is: 85.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 110.52 = 61.72 : x
  2. Step 2: Convert to fraction form
    80.14/110.52 = 61.72/x
  3. Step 3: Cross multiply
    80.14x = 110.52 × 61.72
  4. Step 4: Simplify right side
    80.14x = 6,821.29
  5. Step 5: Solve for x
    x = 6,821.29/80.14
  6. Step 6: Final answer
    x = 85.12

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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.