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Finding the Fourth Proportional to 12.82, 17.65 and 12.06

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Solution

The fourth proportional to 12.82, 17.65 and 12.06 is: 16.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 17.65 = 12.06 : x
  2. Step 2: Convert to fraction form
    12.82/17.65 = 12.06/x
  3. Step 3: Cross multiply
    12.82x = 17.65 × 12.06
  4. Step 4: Simplify right side
    12.82x = 212.86
  5. Step 5: Solve for x
    x = 212.86/12.82
  6. Step 6: Final answer
    x = 16.60

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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.