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Finding the Fourth Proportional to 48.39, 66.77 and 27.68

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Solution

The fourth proportional to 48.39, 66.77 and 27.68 is: 38.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.39 : 66.77 = 27.68 : x
  2. Step 2: Convert to fraction form
    48.39/66.77 = 27.68/x
  3. Step 3: Cross multiply
    48.39x = 66.77 × 27.68
  4. Step 4: Simplify right side
    48.39x = 1,847.98
  5. Step 5: Solve for x
    x = 1,847.98/48.39
  6. Step 6: Final answer
    x = 38.19

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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.