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Finding the Fourth Proportional to 150.52, 225.78 and 63.85

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Solution

The fourth proportional to 150.52, 225.78 and 63.85 is: 95.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 225.78 = 63.85 : x
  2. Step 2: Convert to fraction form
    150.52/225.78 = 63.85/x
  3. Step 3: Cross multiply
    150.52x = 225.78 × 63.85
  4. Step 4: Simplify right side
    150.52x = 14,416.05
  5. Step 5: Solve for x
    x = 14,416.05/150.52
  6. Step 6: Final answer
    x = 95.78

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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.