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Finding the Fourth Proportional to 67.68, 92.97 and 57.96

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Solution

The fourth proportional to 67.68, 92.97 and 57.96 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 92.97 = 57.96 : x
  2. Step 2: Convert to fraction form
    67.68/92.97 = 57.96/x
  3. Step 3: Cross multiply
    67.68x = 92.97 × 57.96
  4. Step 4: Simplify right side
    67.68x = 5,388.54
  5. Step 5: Solve for x
    x = 5,388.54/67.68
  6. Step 6: Final answer
    x = 79.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.