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Finding the Fourth Proportional to 80.92, 112.44 and 80.09

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Solution

The fourth proportional to 80.92, 112.44 and 80.09 is: 111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.92 : 112.44 = 80.09 : x
  2. Step 2: Convert to fraction form
    80.92/112.44 = 80.09/x
  3. Step 3: Cross multiply
    80.92x = 112.44 × 80.09
  4. Step 4: Simplify right side
    80.92x = 9,004.91
  5. Step 5: Solve for x
    x = 9,004.91/80.92
  6. Step 6: Final answer
    x = 111.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.