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Finding the Fourth Proportional to 54.82, 81.79 and 48.34

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Solution

The fourth proportional to 54.82, 81.79 and 48.34 is: 72.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 81.79 = 48.34 : x
  2. Step 2: Convert to fraction form
    54.82/81.79 = 48.34/x
  3. Step 3: Cross multiply
    54.82x = 81.79 × 48.34
  4. Step 4: Simplify right side
    54.82x = 3,953.73
  5. Step 5: Solve for x
    x = 3,953.73/54.82
  6. Step 6: Final answer
    x = 72.12

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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.