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Finding the Fourth Proportional to 150.75, 226.16 and 54.56

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Solution

The fourth proportional to 150.75, 226.16 and 54.56 is: 81.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 226.16 = 54.56 : x
  2. Step 2: Convert to fraction form
    150.75/226.16 = 54.56/x
  3. Step 3: Cross multiply
    150.75x = 226.16 × 54.56
  4. Step 4: Simplify right side
    150.75x = 12,339.79
  5. Step 5: Solve for x
    x = 12,339.79/150.75
  6. Step 6: Final answer
    x = 81.86

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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.