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Finding the Fourth Proportional to 115.38, 159 and 108.54

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Solution

The fourth proportional to 115.38, 159 and 108.54 is: 149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.38 : 159 = 108.54 : x
  2. Step 2: Convert to fraction form
    115.38/159 = 108.54/x
  3. Step 3: Cross multiply
    115.38x = 159 × 108.54
  4. Step 4: Simplify right side
    115.38x = 17,257.86
  5. Step 5: Solve for x
    x = 17,257.86/115.38
  6. Step 6: Final answer
    x = 149.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.