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Finding the Fourth Proportional to 54.67, 82.14 and 51.43

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Solution

The fourth proportional to 54.67, 82.14 and 51.43 is: 77.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.67 : 82.14 = 51.43 : x
  2. Step 2: Convert to fraction form
    54.67/82.14 = 51.43/x
  3. Step 3: Cross multiply
    54.67x = 82.14 × 51.43
  4. Step 4: Simplify right side
    54.67x = 4,224.46
  5. Step 5: Solve for x
    x = 4,224.46/54.67
  6. Step 6: Final answer
    x = 77.27

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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.