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Finding the Fourth Proportional to 54.84, 82.43 and 52.14

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Solution

The fourth proportional to 54.84, 82.43 and 52.14 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 82.43 = 52.14 : x
  2. Step 2: Convert to fraction form
    54.84/82.43 = 52.14/x
  3. Step 3: Cross multiply
    54.84x = 82.43 × 52.14
  4. Step 4: Simplify right side
    54.84x = 4,298.14
  5. Step 5: Solve for x
    x = 4,298.14/54.84
  6. Step 6: Final answer
    x = 78.37

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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.