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Finding the Fourth Proportional to 80.96, 120.80 and 80.32

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Solution

The fourth proportional to 80.96, 120.80 and 80.32 is: 119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.96 : 120.80 = 80.32 : x
  2. Step 2: Convert to fraction form
    80.96/120.80 = 80.32/x
  3. Step 3: Cross multiply
    80.96x = 120.80 × 80.32
  4. Step 4: Simplify right side
    80.96x = 9,702.66
  5. Step 5: Solve for x
    x = 9,702.66/80.96
  6. Step 6: Final answer
    x = 119.85

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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.