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Finding the Fourth Proportional to 48.27, 66.61 and 39.05

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Solution

The fourth proportional to 48.27, 66.61 and 39.05 is: 53.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.27 : 66.61 = 39.05 : x
  2. Step 2: Convert to fraction form
    48.27/66.61 = 39.05/x
  3. Step 3: Cross multiply
    48.27x = 66.61 × 39.05
  4. Step 4: Simplify right side
    48.27x = 2,600.73
  5. Step 5: Solve for x
    x = 2,600.73/48.27
  6. Step 6: Final answer
    x = 53.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.