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Finding the Fourth Proportional to 54.46, 82.12 and 47.78

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Solution

The fourth proportional to 54.46, 82.12 and 47.78 is: 72.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.46 : 82.12 = 47.78 : x
  2. Step 2: Convert to fraction form
    54.46/82.12 = 47.78/x
  3. Step 3: Cross multiply
    54.46x = 82.12 × 47.78
  4. Step 4: Simplify right side
    54.46x = 3,923.69
  5. Step 5: Solve for x
    x = 3,923.69/54.46
  6. Step 6: Final answer
    x = 72.05

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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.