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Finding the Fourth Proportional to 80.26, 119.65 and 75.66

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Solution

The fourth proportional to 80.26, 119.65 and 75.66 is: 112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 119.65 = 75.66 : x
  2. Step 2: Convert to fraction form
    80.26/119.65 = 75.66/x
  3. Step 3: Cross multiply
    80.26x = 119.65 × 75.66
  4. Step 4: Simplify right side
    80.26x = 9,052.72
  5. Step 5: Solve for x
    x = 9,052.72/80.26
  6. Step 6: Final answer
    x = 112.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.