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Finding the Fourth Proportional to 54.96, 82.12 and 52.44

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Solution

The fourth proportional to 54.96, 82.12 and 52.44 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.96 : 82.12 = 52.44 : x
  2. Step 2: Convert to fraction form
    54.96/82.12 = 52.44/x
  3. Step 3: Cross multiply
    54.96x = 82.12 × 52.44
  4. Step 4: Simplify right side
    54.96x = 4,306.37
  5. Step 5: Solve for x
    x = 4,306.37/54.96
  6. Step 6: Final answer
    x = 78.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.