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Finding the Fourth Proportional to 151.54, 226.53 and 112.66

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Solution

The fourth proportional to 151.54, 226.53 and 112.66 is: 168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.54 : 226.53 = 112.66 : x
  2. Step 2: Convert to fraction form
    151.54/226.53 = 112.66/x
  3. Step 3: Cross multiply
    151.54x = 226.53 × 112.66
  4. Step 4: Simplify right side
    151.54x = 25,520.87
  5. Step 5: Solve for x
    x = 25,520.87/151.54
  6. Step 6: Final answer
    x = 168.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.