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Finding the Fourth Proportional to 63.02, 86.97 and 36.80

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Solution

The fourth proportional to 63.02, 86.97 and 36.80 is: 50.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.02 : 86.97 = 36.80 : x
  2. Step 2: Convert to fraction form
    63.02/86.97 = 36.80/x
  3. Step 3: Cross multiply
    63.02x = 86.97 × 36.80
  4. Step 4: Simplify right side
    63.02x = 3,199.92
  5. Step 5: Solve for x
    x = 3,199.92/63.02
  6. Step 6: Final answer
    x = 50.78

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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.