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Finding the Fourth Proportional to 49.85, 68.79 and 29.12

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Solution

The fourth proportional to 49.85, 68.79 and 29.12 is: 40.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.85 : 68.79 = 29.12 : x
  2. Step 2: Convert to fraction form
    49.85/68.79 = 29.12/x
  3. Step 3: Cross multiply
    49.85x = 68.79 × 29.12
  4. Step 4: Simplify right side
    49.85x = 2,003.39
  5. Step 5: Solve for x
    x = 2,003.39/49.85
  6. Step 6: Final answer
    x = 40.19

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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.