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Finding the Fourth Proportional to 12.40, 18.64 and 11.05

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Solution

The fourth proportional to 12.40, 18.64 and 11.05 is: 16.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.40 : 18.64 = 11.05 : x
  2. Step 2: Convert to fraction form
    12.40/18.64 = 11.05/x
  3. Step 3: Cross multiply
    12.40x = 18.64 × 11.05
  4. Step 4: Simplify right side
    12.40x = 205.97
  5. Step 5: Solve for x
    x = 205.97/12.40
  6. Step 6: Final answer
    x = 16.61

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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.