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Finding the Fourth Proportional to 49.54, 68.36 and 27.70

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Solution

The fourth proportional to 49.54, 68.36 and 27.70 is: 38.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.54 : 68.36 = 27.70 : x
  2. Step 2: Convert to fraction form
    49.54/68.36 = 27.70/x
  3. Step 3: Cross multiply
    49.54x = 68.36 × 27.70
  4. Step 4: Simplify right side
    49.54x = 1,893.57
  5. Step 5: Solve for x
    x = 1,893.57/49.54
  6. Step 6: Final answer
    x = 38.22

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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.