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Finding the Fourth Proportional to 80.65, 120.96 and 40.10

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Solution

The fourth proportional to 80.65, 120.96 and 40.10 is: 60.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.65 : 120.96 = 40.10 : x
  2. Step 2: Convert to fraction form
    80.65/120.96 = 40.10/x
  3. Step 3: Cross multiply
    80.65x = 120.96 × 40.10
  4. Step 4: Simplify right side
    80.65x = 4,849.89
  5. Step 5: Solve for x
    x = 4,849.89/80.65
  6. Step 6: Final answer
    x = 60.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.