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Finding the Fourth Proportional to 48.11, 71.86 and 41.27

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Solution

The fourth proportional to 48.11, 71.86 and 41.27 is: 61.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.11 : 71.86 = 41.27 : x
  2. Step 2: Convert to fraction form
    48.11/71.86 = 41.27/x
  3. Step 3: Cross multiply
    48.11x = 71.86 × 41.27
  4. Step 4: Simplify right side
    48.11x = 2,965.66
  5. Step 5: Solve for x
    x = 2,965.66/48.11
  6. Step 6: Final answer
    x = 61.65

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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.