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Finding the Fourth Proportional to 68.80, 94.89 and 49.13

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Solution

The fourth proportional to 68.80, 94.89 and 49.13 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.80 : 94.89 = 49.13 : x
  2. Step 2: Convert to fraction form
    68.80/94.89 = 49.13/x
  3. Step 3: Cross multiply
    68.80x = 94.89 × 49.13
  4. Step 4: Simplify right side
    68.80x = 4,661.47
  5. Step 5: Solve for x
    x = 4,661.47/68.80
  6. Step 6: Final answer
    x = 67.76

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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.