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Finding the Fourth Proportional to 54.57, 82.18 and 47.89

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Solution

The fourth proportional to 54.57, 82.18 and 47.89 is: 72.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 82.18 = 47.89 : x
  2. Step 2: Convert to fraction form
    54.57/82.18 = 47.89/x
  3. Step 3: Cross multiply
    54.57x = 82.18 × 47.89
  4. Step 4: Simplify right side
    54.57x = 3,935.60
  5. Step 5: Solve for x
    x = 3,935.60/54.57
  6. Step 6: Final answer
    x = 72.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.