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Finding the Fourth Proportional to 80.40, 120.56 and 26.29

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Solution

The fourth proportional to 80.40, 120.56 and 26.29 is: 39.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.40 : 120.56 = 26.29 : x
  2. Step 2: Convert to fraction form
    80.40/120.56 = 26.29/x
  3. Step 3: Cross multiply
    80.40x = 120.56 × 26.29
  4. Step 4: Simplify right side
    80.40x = 3,169.39
  5. Step 5: Solve for x
    x = 3,169.39/80.40
  6. Step 6: Final answer
    x = 39.42

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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.