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Finding the Fourth Proportional to 54.39, 81.58 and 20.15

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Solution

The fourth proportional to 54.39, 81.58 and 20.15 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.39 : 81.58 = 20.15 : x
  2. Step 2: Convert to fraction form
    54.39/81.58 = 20.15/x
  3. Step 3: Cross multiply
    54.39x = 81.58 × 20.15
  4. Step 4: Simplify right side
    54.39x = 1,643.84
  5. Step 5: Solve for x
    x = 1,643.84/54.39
  6. Step 6: Final answer
    x = 30.22

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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.