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Finding the Fourth Proportional to 49.94, 68.82 and 39.05

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Solution

The fourth proportional to 49.94, 68.82 and 39.05 is: 53.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.94 : 68.82 = 39.05 : x
  2. Step 2: Convert to fraction form
    49.94/68.82 = 39.05/x
  3. Step 3: Cross multiply
    49.94x = 68.82 × 39.05
  4. Step 4: Simplify right side
    49.94x = 2,687.08
  5. Step 5: Solve for x
    x = 2,687.08/49.94
  6. Step 6: Final answer
    x = 53.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.