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Finding the Fourth Proportional to 80.08, 120.08 and 36.76

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Solution

The fourth proportional to 80.08, 120.08 and 36.76 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.08 : 120.08 = 36.76 : x
  2. Step 2: Convert to fraction form
    80.08/120.08 = 36.76/x
  3. Step 3: Cross multiply
    80.08x = 120.08 × 36.76
  4. Step 4: Simplify right side
    80.08x = 4,414.14
  5. Step 5: Solve for x
    x = 4,414.14/80.08
  6. Step 6: Final answer
    x = 55.12

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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.