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Finding the Fourth Proportional to 49.82, 68.74 and 27.99

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Solution

The fourth proportional to 49.82, 68.74 and 27.99 is: 38.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.82 : 68.74 = 27.99 : x
  2. Step 2: Convert to fraction form
    49.82/68.74 = 27.99/x
  3. Step 3: Cross multiply
    49.82x = 68.74 × 27.99
  4. Step 4: Simplify right side
    49.82x = 1,923.69
  5. Step 5: Solve for x
    x = 1,923.69/49.82
  6. Step 6: Final answer
    x = 38.62

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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.