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Finding the Fourth Proportional to 80.65, 120.46 and 66.12

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Solution

The fourth proportional to 80.65, 120.46 and 66.12 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.65 : 120.46 = 66.12 : x
  2. Step 2: Convert to fraction form
    80.65/120.46 = 66.12/x
  3. Step 3: Cross multiply
    80.65x = 120.46 × 66.12
  4. Step 4: Simplify right side
    80.65x = 7,964.85
  5. Step 5: Solve for x
    x = 7,964.85/80.65
  6. Step 6: Final answer
    x = 98.76

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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.