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Finding the Fourth Proportional to 80.19, 109.97 and 76.41

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Solution

The fourth proportional to 80.19, 109.97 and 76.41 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.19 : 109.97 = 76.41 : x
  2. Step 2: Convert to fraction form
    80.19/109.97 = 76.41/x
  3. Step 3: Cross multiply
    80.19x = 109.97 × 76.41
  4. Step 4: Simplify right side
    80.19x = 8,402.43
  5. Step 5: Solve for x
    x = 8,402.43/80.19
  6. Step 6: Final answer
    x = 104.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.