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Finding the Fourth Proportional to 63.75, 87.86 and 50.69

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Solution

The fourth proportional to 63.75, 87.86 and 50.69 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.75 : 87.86 = 50.69 : x
  2. Step 2: Convert to fraction form
    63.75/87.86 = 50.69/x
  3. Step 3: Cross multiply
    63.75x = 87.86 × 50.69
  4. Step 4: Simplify right side
    63.75x = 4,453.97
  5. Step 5: Solve for x
    x = 4,453.97/63.75
  6. Step 6: Final answer
    x = 69.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.