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Finding the Fourth Proportional to 54.10, 81.33 and 53.83

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Solution

The fourth proportional to 54.10, 81.33 and 53.83 is: 80.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.10 : 81.33 = 53.83 : x
  2. Step 2: Convert to fraction form
    54.10/81.33 = 53.83/x
  3. Step 3: Cross multiply
    54.10x = 81.33 × 53.83
  4. Step 4: Simplify right side
    54.10x = 4,377.99
  5. Step 5: Solve for x
    x = 4,377.99/54.10
  6. Step 6: Final answer
    x = 80.92

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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.