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Finding the Fourth Proportional to 149.96, 224.68 and 106.48

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Solution

The fourth proportional to 149.96, 224.68 and 106.48 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 224.68 = 106.48 : x
  2. Step 2: Convert to fraction form
    149.96/224.68 = 106.48/x
  3. Step 3: Cross multiply
    149.96x = 224.68 × 106.48
  4. Step 4: Simplify right side
    149.96x = 23,923.93
  5. Step 5: Solve for x
    x = 23,923.93/149.96
  6. Step 6: Final answer
    x = 159.54

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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.