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Finding the Fourth Proportional to 80.08, 119.56 and 71.42

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Solution

The fourth proportional to 80.08, 119.56 and 71.42 is: 106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.08 : 119.56 = 71.42 : x
  2. Step 2: Convert to fraction form
    80.08/119.56 = 71.42/x
  3. Step 3: Cross multiply
    80.08x = 119.56 × 71.42
  4. Step 4: Simplify right side
    80.08x = 8,538.98
  5. Step 5: Solve for x
    x = 8,538.98/80.08
  6. Step 6: Final answer
    x = 106.63

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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.