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Finding the Fourth Proportional to 151.26, 226.89 and 48.54

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Solution

The fourth proportional to 151.26, 226.89 and 48.54 is: 72.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.26 : 226.89 = 48.54 : x
  2. Step 2: Convert to fraction form
    151.26/226.89 = 48.54/x
  3. Step 3: Cross multiply
    151.26x = 226.89 × 48.54
  4. Step 4: Simplify right side
    151.26x = 11,013.24
  5. Step 5: Solve for x
    x = 11,013.24/151.26
  6. Step 6: Final answer
    x = 72.81

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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.