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Finding the Fourth Proportional to 149.49, 223.74 and 80.82

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Solution

The fourth proportional to 149.49, 223.74 and 80.82 is: 120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 223.74 = 80.82 : x
  2. Step 2: Convert to fraction form
    149.49/223.74 = 80.82/x
  3. Step 3: Cross multiply
    149.49x = 223.74 × 80.82
  4. Step 4: Simplify right side
    149.49x = 18,082.67
  5. Step 5: Solve for x
    x = 18,082.67/149.49
  6. Step 6: Final answer
    x = 120.96

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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.