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Finding the Fourth Proportional to 148.71, 222.85 and 80.20

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Solution

The fourth proportional to 148.71, 222.85 and 80.20 is: 120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.71 : 222.85 = 80.20 : x
  2. Step 2: Convert to fraction form
    148.71/222.85 = 80.20/x
  3. Step 3: Cross multiply
    148.71x = 222.85 × 80.20
  4. Step 4: Simplify right side
    148.71x = 17,872.57
  5. Step 5: Solve for x
    x = 17,872.57/148.71
  6. Step 6: Final answer
    x = 120.18

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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.