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Finding the Fourth Proportional to 148.11, 221.84 and 107.44

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Solution

The fourth proportional to 148.11, 221.84 and 107.44 is: 160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 221.84 = 107.44 : x
  2. Step 2: Convert to fraction form
    148.11/221.84 = 107.44/x
  3. Step 3: Cross multiply
    148.11x = 221.84 × 107.44
  4. Step 4: Simplify right side
    148.11x = 23,833.80
  5. Step 5: Solve for x
    x = 23,833.80/148.11
  6. Step 6: Final answer
    x = 160.92

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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.