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Finding the Fourth Proportional to 36.28, 54.46 and 20.26

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Solution

The fourth proportional to 36.28, 54.46 and 20.26 is: 30.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.28 : 54.46 = 20.26 : x
  2. Step 2: Convert to fraction form
    36.28/54.46 = 20.26/x
  3. Step 3: Cross multiply
    36.28x = 54.46 × 20.26
  4. Step 4: Simplify right side
    36.28x = 1,103.36
  5. Step 5: Solve for x
    x = 1,103.36/36.28
  6. Step 6: Final answer
    x = 30.41

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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.