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Finding the Fourth Proportional to 83.98, 126.67 and 80.20

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Solution

The fourth proportional to 83.98, 126.67 and 80.20 is: 120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.98 : 126.67 = 80.20 : x
  2. Step 2: Convert to fraction form
    83.98/126.67 = 80.20/x
  3. Step 3: Cross multiply
    83.98x = 126.67 × 80.20
  4. Step 4: Simplify right side
    83.98x = 10,158.93
  5. Step 5: Solve for x
    x = 10,158.93/83.98
  6. Step 6: Final answer
    x = 120.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.