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Finding the Fourth Proportional to 80.26, 119.52 and 78.22

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Solution

The fourth proportional to 80.26, 119.52 and 78.22 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 119.52 = 78.22 : x
  2. Step 2: Convert to fraction form
    80.26/119.52 = 78.22/x
  3. Step 3: Cross multiply
    80.26x = 119.52 × 78.22
  4. Step 4: Simplify right side
    80.26x = 9,348.85
  5. Step 5: Solve for x
    x = 9,348.85/80.26
  6. Step 6: Final answer
    x = 116.48

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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.