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Finding the Fourth Proportional to 36.13, 54.12 and 20.06

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Solution

The fourth proportional to 36.13, 54.12 and 20.06 is: 30.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.13 : 54.12 = 20.06 : x
  2. Step 2: Convert to fraction form
    36.13/54.12 = 20.06/x
  3. Step 3: Cross multiply
    36.13x = 54.12 × 20.06
  4. Step 4: Simplify right side
    36.13x = 1,085.78
  5. Step 5: Solve for x
    x = 1,085.78/36.13
  6. Step 6: Final answer
    x = 30.05

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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.