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Finding the Fourth Proportional to 49.81, 68.74 and 27.98

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Solution

The fourth proportional to 49.81, 68.74 and 27.98 is: 38.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.81 : 68.74 = 27.98 : x
  2. Step 2: Convert to fraction form
    49.81/68.74 = 27.98/x
  3. Step 3: Cross multiply
    49.81x = 68.74 × 27.98
  4. Step 4: Simplify right side
    49.81x = 1,922.93
  5. Step 5: Solve for x
    x = 1,922.93/49.81
  6. Step 6: Final answer
    x = 38.61

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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.