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Finding the Fourth Proportional to 80.17, 119.72 and 75.38

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Solution

The fourth proportional to 80.17, 119.72 and 75.38 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.17 : 119.72 = 75.38 : x
  2. Step 2: Convert to fraction form
    80.17/119.72 = 75.38/x
  3. Step 3: Cross multiply
    80.17x = 119.72 × 75.38
  4. Step 4: Simplify right side
    80.17x = 9,024.08
  5. Step 5: Solve for x
    x = 9,024.08/80.17
  6. Step 6: Final answer
    x = 112.57

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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.