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Finding the Fourth Proportional to 80.20, 119.70 and 75.64

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Solution

The fourth proportional to 80.20, 119.70 and 75.64 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.20 : 119.70 = 75.64 : x
  2. Step 2: Convert to fraction form
    80.20/119.70 = 75.64/x
  3. Step 3: Cross multiply
    80.20x = 119.70 × 75.64
  4. Step 4: Simplify right side
    80.20x = 9,054.11
  5. Step 5: Solve for x
    x = 9,054.11/80.20
  6. Step 6: Final answer
    x = 112.89

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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.