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Finding the Fourth Proportional to 80.71, 120.85 and 74.03

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Solution

The fourth proportional to 80.71, 120.85 and 74.03 is: 110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.71 : 120.85 = 74.03 : x
  2. Step 2: Convert to fraction form
    80.71/120.85 = 74.03/x
  3. Step 3: Cross multiply
    80.71x = 120.85 × 74.03
  4. Step 4: Simplify right side
    80.71x = 8,945.74
  5. Step 5: Solve for x
    x = 8,945.74/80.71
  6. Step 6: Final answer
    x = 110.84

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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.