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Finding the Fourth Proportional to 36.21, 54.26 and 21.73

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Solution

The fourth proportional to 36.21, 54.26 and 21.73 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.21 : 54.26 = 21.73 : x
  2. Step 2: Convert to fraction form
    36.21/54.26 = 21.73/x
  3. Step 3: Cross multiply
    36.21x = 54.26 × 21.73
  4. Step 4: Simplify right side
    36.21x = 1,179.05
  5. Step 5: Solve for x
    x = 1,179.05/36.21
  6. Step 6: Final answer
    x = 32.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.