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Finding the Fourth Proportional to 54, 81.33 and 40.56

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Solution

The fourth proportional to 54, 81.33 and 40.56 is: 61.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 81.33 = 40.56 : x
  2. Step 2: Convert to fraction form
    54/81.33 = 40.56/x
  3. Step 3: Cross multiply
    54x = 81.33 × 40.56
  4. Step 4: Simplify right side
    54x = 3,298.74
  5. Step 5: Solve for x
    x = 3,298.74/54
  6. Step 6: Final answer
    x = 61.09

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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.