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Finding the Fourth Proportional to 49.41, 68.17 and 27.57

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Solution

The fourth proportional to 49.41, 68.17 and 27.57 is: 38.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.41 : 68.17 = 27.57 : x
  2. Step 2: Convert to fraction form
    49.41/68.17 = 27.57/x
  3. Step 3: Cross multiply
    49.41x = 68.17 × 27.57
  4. Step 4: Simplify right side
    49.41x = 1,879.11
  5. Step 5: Solve for x
    x = 1,879.11/49.41
  6. Step 6: Final answer
    x = 38.03

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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.