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Finding the Fourth Proportional to 49.73, 68.63 and 27.90

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Solution

The fourth proportional to 49.73, 68.63 and 27.90 is: 38.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.73 : 68.63 = 27.90 : x
  2. Step 2: Convert to fraction form
    49.73/68.63 = 27.90/x
  3. Step 3: Cross multiply
    49.73x = 68.63 × 27.90
  4. Step 4: Simplify right side
    49.73x = 1,914.64
  5. Step 5: Solve for x
    x = 1,914.64/49.73
  6. Step 6: Final answer
    x = 38.50

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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.