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Finding the Fourth Proportional to 63.73, 95.49 and 36.26

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Solution

The fourth proportional to 63.73, 95.49 and 36.26 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.73 : 95.49 = 36.26 : x
  2. Step 2: Convert to fraction form
    63.73/95.49 = 36.26/x
  3. Step 3: Cross multiply
    63.73x = 95.49 × 36.26
  4. Step 4: Simplify right side
    63.73x = 3,461.99
  5. Step 5: Solve for x
    x = 3,461.99/63.73
  6. Step 6: Final answer
    x = 54.32

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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.