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Finding the Fourth Proportional to 12.97, 17.85 and 12

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Solution

The fourth proportional to 12.97, 17.85 and 12 is: 16.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.97 : 17.85 = 12 : x
  2. Step 2: Convert to fraction form
    12.97/17.85 = 12/x
  3. Step 3: Cross multiply
    12.97x = 17.85 × 12
  4. Step 4: Simplify right side
    12.97x = 214.20
  5. Step 5: Solve for x
    x = 214.20/12.97
  6. Step 6: Final answer
    x = 16.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.