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Finding the Fourth Proportional to 54.27, 81.88 and 48.33

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Solution

The fourth proportional to 54.27, 81.88 and 48.33 is: 72.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.27 : 81.88 = 48.33 : x
  2. Step 2: Convert to fraction form
    54.27/81.88 = 48.33/x
  3. Step 3: Cross multiply
    54.27x = 81.88 × 48.33
  4. Step 4: Simplify right side
    54.27x = 3,957.14
  5. Step 5: Solve for x
    x = 3,957.14/54.27
  6. Step 6: Final answer
    x = 72.92

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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.