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Finding the Fourth Proportional to 36.22, 54.33 and 12.16

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Solution

The fourth proportional to 36.22, 54.33 and 12.16 is: 18.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.22 : 54.33 = 12.16 : x
  2. Step 2: Convert to fraction form
    36.22/54.33 = 12.16/x
  3. Step 3: Cross multiply
    36.22x = 54.33 × 12.16
  4. Step 4: Simplify right side
    36.22x = 660.59
  5. Step 5: Solve for x
    x = 660.59/36.22
  6. Step 6: Final answer
    x = 18.24

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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.