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Finding the Fourth Proportional to 10.89, 16.34 and 6.91

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Solution

The fourth proportional to 10.89, 16.34 and 6.91 is: 10.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.89 : 16.34 = 6.91 : x
  2. Step 2: Convert to fraction form
    10.89/16.34 = 6.91/x
  3. Step 3: Cross multiply
    10.89x = 16.34 × 6.91
  4. Step 4: Simplify right side
    10.89x = 112.83
  5. Step 5: Solve for x
    x = 112.83/10.89
  6. Step 6: Final answer
    x = 10.36

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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.