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Finding the Fourth Proportional to 151.13, 226.38 and 105.57

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Solution

The fourth proportional to 151.13, 226.38 and 105.57 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.13 : 226.38 = 105.57 : x
  2. Step 2: Convert to fraction form
    151.13/226.38 = 105.57/x
  3. Step 3: Cross multiply
    151.13x = 226.38 × 105.57
  4. Step 4: Simplify right side
    151.13x = 23,898.94
  5. Step 5: Solve for x
    x = 23,898.94/151.13
  6. Step 6: Final answer
    x = 158.14

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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.