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Finding the Fourth Proportional to 48.83, 67.74 and 44.27

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Solution

The fourth proportional to 48.83, 67.74 and 44.27 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.83 : 67.74 = 44.27 : x
  2. Step 2: Convert to fraction form
    48.83/67.74 = 44.27/x
  3. Step 3: Cross multiply
    48.83x = 67.74 × 44.27
  4. Step 4: Simplify right side
    48.83x = 2,998.79
  5. Step 5: Solve for x
    x = 2,998.79/48.83
  6. Step 6: Final answer
    x = 61.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.