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Finding the Fourth Proportional to 54.57, 81.42 and 47.82

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Solution

The fourth proportional to 54.57, 81.42 and 47.82 is: 71.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 81.42 = 47.82 : x
  2. Step 2: Convert to fraction form
    54.57/81.42 = 47.82/x
  3. Step 3: Cross multiply
    54.57x = 81.42 × 47.82
  4. Step 4: Simplify right side
    54.57x = 3,893.50
  5. Step 5: Solve for x
    x = 3,893.50/54.57
  6. Step 6: Final answer
    x = 71.35

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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.