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Finding the Fourth Proportional to 12.26, 18.40 and 9.60

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Solution

The fourth proportional to 12.26, 18.40 and 9.60 is: 14.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.26 : 18.40 = 9.60 : x
  2. Step 2: Convert to fraction form
    12.26/18.40 = 9.60/x
  3. Step 3: Cross multiply
    12.26x = 18.40 × 9.60
  4. Step 4: Simplify right side
    12.26x = 176.64
  5. Step 5: Solve for x
    x = 176.64/12.26
  6. Step 6: Final answer
    x = 14.41

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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.