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Finding the Fourth Proportional to 49.09, 67.74 and 27.25

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Solution

The fourth proportional to 49.09, 67.74 and 27.25 is: 37.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 67.74 = 27.25 : x
  2. Step 2: Convert to fraction form
    49.09/67.74 = 27.25/x
  3. Step 3: Cross multiply
    49.09x = 67.74 × 27.25
  4. Step 4: Simplify right side
    49.09x = 1,845.92
  5. Step 5: Solve for x
    x = 1,845.92/49.09
  6. Step 6: Final answer
    x = 37.60

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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.