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Finding the Fourth Proportional to 12.97, 19.45 and 12.05

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Solution

The fourth proportional to 12.97, 19.45 and 12.05 is: 18.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.97 : 19.45 = 12.05 : x
  2. Step 2: Convert to fraction form
    12.97/19.45 = 12.05/x
  3. Step 3: Cross multiply
    12.97x = 19.45 × 12.05
  4. Step 4: Simplify right side
    12.97x = 234.39
  5. Step 5: Solve for x
    x = 234.39/12.97
  6. Step 6: Final answer
    x = 18.08

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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.