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Finding the Fourth Proportional to 12.06, 16.62 and 8.43

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Solution

The fourth proportional to 12.06, 16.62 and 8.43 is: 11.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.06 : 16.62 = 8.43 : x
  2. Step 2: Convert to fraction form
    12.06/16.62 = 8.43/x
  3. Step 3: Cross multiply
    12.06x = 16.62 × 8.43
  4. Step 4: Simplify right side
    12.06x = 140.11
  5. Step 5: Solve for x
    x = 140.11/12.06
  6. Step 6: Final answer
    x = 11.62

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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.