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Finding the Fourth Proportional to 54.78, 82.55 and 54.24

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Solution

The fourth proportional to 54.78, 82.55 and 54.24 is: 81.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.55 = 54.24 : x
  2. Step 2: Convert to fraction form
    54.78/82.55 = 54.24/x
  3. Step 3: Cross multiply
    54.78x = 82.55 × 54.24
  4. Step 4: Simplify right side
    54.78x = 4,477.24
  5. Step 5: Solve for x
    x = 4,477.24/54.78
  6. Step 6: Final answer
    x = 81.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.