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Finding the Fourth Proportional to 80.71, 120.84 and 74.33

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Solution

The fourth proportional to 80.71, 120.84 and 74.33 is: 111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.71 : 120.84 = 74.33 : x
  2. Step 2: Convert to fraction form
    80.71/120.84 = 74.33/x
  3. Step 3: Cross multiply
    80.71x = 120.84 × 74.33
  4. Step 4: Simplify right side
    80.71x = 8,982.71
  5. Step 5: Solve for x
    x = 8,982.71/80.71
  6. Step 6: Final answer
    x = 111.29

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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.