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Finding the Fourth Proportional to 80.14, 110.31 and 69.74

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Solution

The fourth proportional to 80.14, 110.31 and 69.74 is: 95.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 110.31 = 69.74 : x
  2. Step 2: Convert to fraction form
    80.14/110.31 = 69.74/x
  3. Step 3: Cross multiply
    80.14x = 110.31 × 69.74
  4. Step 4: Simplify right side
    80.14x = 7,693.02
  5. Step 5: Solve for x
    x = 7,693.02/80.14
  6. Step 6: Final answer
    x = 95.99

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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.