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Finding the Fourth Proportional to 151.62, 227.61 and 105.86

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Solution

The fourth proportional to 151.62, 227.61 and 105.86 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.62 : 227.61 = 105.86 : x
  2. Step 2: Convert to fraction form
    151.62/227.61 = 105.86/x
  3. Step 3: Cross multiply
    151.62x = 227.61 × 105.86
  4. Step 4: Simplify right side
    151.62x = 24,093.66
  5. Step 5: Solve for x
    x = 24,093.66/151.62
  6. Step 6: Final answer
    x = 158.91

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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.