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Finding the Fourth Proportional to 54.22, 81.34 and 20.00

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Solution

The fourth proportional to 54.22, 81.34 and 20.00 is: 30.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.22 : 81.34 = 20.00 : x
  2. Step 2: Convert to fraction form
    54.22/81.34 = 20.00/x
  3. Step 3: Cross multiply
    54.22x = 81.34 × 20.00
  4. Step 4: Simplify right side
    54.22x = 1,626.95
  5. Step 5: Solve for x
    x = 1,626.95/54.22
  6. Step 6: Final answer
    x = 30.01

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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.