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Finding the Fourth Proportional to 10.86, 16.29 and 8.34

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Solution

The fourth proportional to 10.86, 16.29 and 8.34 is: 12.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 16.29 = 8.34 : x
  2. Step 2: Convert to fraction form
    10.86/16.29 = 8.34/x
  3. Step 3: Cross multiply
    10.86x = 16.29 × 8.34
  4. Step 4: Simplify right side
    10.86x = 135.86
  5. Step 5: Solve for x
    x = 135.86/10.86
  6. Step 6: Final answer
    x = 12.51

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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.