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Finding the Fourth Proportional to 49.88, 68.83 and 29.16

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Solution

The fourth proportional to 49.88, 68.83 and 29.16 is: 40.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 68.83 = 29.16 : x
  2. Step 2: Convert to fraction form
    49.88/68.83 = 29.16/x
  3. Step 3: Cross multiply
    49.88x = 68.83 × 29.16
  4. Step 4: Simplify right side
    49.88x = 2,007.01
  5. Step 5: Solve for x
    x = 2,007.01/49.88
  6. Step 6: Final answer
    x = 40.23

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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.