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Finding the Fourth Proportional to 10.68, 16.01 and 8.29

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Solution

The fourth proportional to 10.68, 16.01 and 8.29 is: 12.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.68 : 16.01 = 8.29 : x
  2. Step 2: Convert to fraction form
    10.68/16.01 = 8.29/x
  3. Step 3: Cross multiply
    10.68x = 16.01 × 8.29
  4. Step 4: Simplify right side
    10.68x = 132.72
  5. Step 5: Solve for x
    x = 132.72/10.68
  6. Step 6: Final answer
    x = 12.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.