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Finding the Fourth Proportional to 80.26, 120.54 and 77.53

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Solution

The fourth proportional to 80.26, 120.54 and 77.53 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 120.54 = 77.53 : x
  2. Step 2: Convert to fraction form
    80.26/120.54 = 77.53/x
  3. Step 3: Cross multiply
    80.26x = 120.54 × 77.53
  4. Step 4: Simplify right side
    80.26x = 9,345.47
  5. Step 5: Solve for x
    x = 9,345.47/80.26
  6. Step 6: Final answer
    x = 116.44

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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.