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Finding the Fourth Proportional to 80.89, 120.56 and 76.33

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Solution

The fourth proportional to 80.89, 120.56 and 76.33 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.89 : 120.56 = 76.33 : x
  2. Step 2: Convert to fraction form
    80.89/120.56 = 76.33/x
  3. Step 3: Cross multiply
    80.89x = 120.56 × 76.33
  4. Step 4: Simplify right side
    80.89x = 9,202.34
  5. Step 5: Solve for x
    x = 9,202.34/80.89
  6. Step 6: Final answer
    x = 113.76

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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.