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Finding the Fourth Proportional to 54.78, 82.18 and 30.76

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Solution

The fourth proportional to 54.78, 82.18 and 30.76 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.18 = 30.76 : x
  2. Step 2: Convert to fraction form
    54.78/82.18 = 30.76/x
  3. Step 3: Cross multiply
    54.78x = 82.18 × 30.76
  4. Step 4: Simplify right side
    54.78x = 2,527.86
  5. Step 5: Solve for x
    x = 2,527.86/54.78
  6. Step 6: Final answer
    x = 46.15

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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.