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Finding the Fourth Proportional to 54.78, 81.75 and 54.06

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Solution

The fourth proportional to 54.78, 81.75 and 54.06 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 81.75 = 54.06 : x
  2. Step 2: Convert to fraction form
    54.78/81.75 = 54.06/x
  3. Step 3: Cross multiply
    54.78x = 81.75 × 54.06
  4. Step 4: Simplify right side
    54.78x = 4,419.41
  5. Step 5: Solve for x
    x = 4,419.41/54.78
  6. Step 6: Final answer
    x = 80.68

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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.