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Finding the Fourth Proportional to 80.48, 119.69 and 75.40

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Solution

The fourth proportional to 80.48, 119.69 and 75.40 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 119.69 = 75.40 : x
  2. Step 2: Convert to fraction form
    80.48/119.69 = 75.40/x
  3. Step 3: Cross multiply
    80.48x = 119.69 × 75.40
  4. Step 4: Simplify right side
    80.48x = 9,024.63
  5. Step 5: Solve for x
    x = 9,024.63/80.48
  6. Step 6: Final answer
    x = 112.14

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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.