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Finding the Fourth Proportional to 89.92, 134.26 and 80.20

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Solution

The fourth proportional to 89.92, 134.26 and 80.20 is: 119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.92 : 134.26 = 80.20 : x
  2. Step 2: Convert to fraction form
    89.92/134.26 = 80.20/x
  3. Step 3: Cross multiply
    89.92x = 134.26 × 80.20
  4. Step 4: Simplify right side
    89.92x = 10,767.85
  5. Step 5: Solve for x
    x = 10,767.85/89.92
  6. Step 6: Final answer
    x = 119.75

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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.