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Finding the Fourth Proportional to 149.38, 224.06 and 53.19

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Solution

The fourth proportional to 149.38, 224.06 and 53.19 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 224.06 = 53.19 : x
  2. Step 2: Convert to fraction form
    149.38/224.06 = 53.19/x
  3. Step 3: Cross multiply
    149.38x = 224.06 × 53.19
  4. Step 4: Simplify right side
    149.38x = 11,917.75
  5. Step 5: Solve for x
    x = 11,917.75/149.38
  6. Step 6: Final answer
    x = 79.78

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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.