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Finding the Fourth Proportional to 10.90, 16.34 and 7.69

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Solution

The fourth proportional to 10.90, 16.34 and 7.69 is: 11.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.90 : 16.34 = 7.69 : x
  2. Step 2: Convert to fraction form
    10.90/16.34 = 7.69/x
  3. Step 3: Cross multiply
    10.90x = 16.34 × 7.69
  4. Step 4: Simplify right side
    10.90x = 125.53
  5. Step 5: Solve for x
    x = 125.53/10.90
  6. Step 6: Final answer
    x = 11.52

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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.