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Finding the Fourth Proportional to 54.27, 80.95 and 48.19

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Solution

The fourth proportional to 54.27, 80.95 and 48.19 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.27 : 80.95 = 48.19 : x
  2. Step 2: Convert to fraction form
    54.27/80.95 = 48.19/x
  3. Step 3: Cross multiply
    54.27x = 80.95 × 48.19
  4. Step 4: Simplify right side
    54.27x = 3,900.98
  5. Step 5: Solve for x
    x = 3,900.98/54.27
  6. Step 6: Final answer
    x = 71.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.