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Finding the Fourth Proportional to 11.90, 16.31 and 10.69

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Solution

The fourth proportional to 11.90, 16.31 and 10.69 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.90 : 16.31 = 10.69 : x
  2. Step 2: Convert to fraction form
    11.90/16.31 = 10.69/x
  3. Step 3: Cross multiply
    11.90x = 16.31 × 10.69
  4. Step 4: Simplify right side
    11.90x = 174.26
  5. Step 5: Solve for x
    x = 174.26/11.90
  6. Step 6: Final answer
    x = 14.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.