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Finding the Fourth Proportional to 10.86, 16.29 and 9.68

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Solution

The fourth proportional to 10.86, 16.29 and 9.68 is: 14.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 16.29 = 9.68 : x
  2. Step 2: Convert to fraction form
    10.86/16.29 = 9.68/x
  3. Step 3: Cross multiply
    10.86x = 16.29 × 9.68
  4. Step 4: Simplify right side
    10.86x = 157.61
  5. Step 5: Solve for x
    x = 157.61/10.86
  6. Step 6: Final answer
    x = 14.51

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Why These Related Problems?

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