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Finding the Fourth Proportional to 80.09, 119.79 and 75.23

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Solution

The fourth proportional to 80.09, 119.79 and 75.23 is: 112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 119.79 = 75.23 : x
  2. Step 2: Convert to fraction form
    80.09/119.79 = 75.23/x
  3. Step 3: Cross multiply
    80.09x = 119.79 × 75.23
  4. Step 4: Simplify right side
    80.09x = 9,011.48
  5. Step 5: Solve for x
    x = 9,011.48/80.09
  6. Step 6: Final answer
    x = 112.52

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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.