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Finding the Fourth Proportional to 80.03, 120.02 and 25.91

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Solution

The fourth proportional to 80.03, 120.02 and 25.91 is: 38.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.03 : 120.02 = 25.91 : x
  2. Step 2: Convert to fraction form
    80.03/120.02 = 25.91/x
  3. Step 3: Cross multiply
    80.03x = 120.02 × 25.91
  4. Step 4: Simplify right side
    80.03x = 3,109.89
  5. Step 5: Solve for x
    x = 3,109.89/80.03
  6. Step 6: Final answer
    x = 38.86

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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.