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Finding the Fourth Proportional to 8.46, 12.69 and 3.39

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Solution

The fourth proportional to 8.46, 12.69 and 3.39 is: 5.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.46 : 12.69 = 3.39 : x
  2. Step 2: Convert to fraction form
    8.46/12.69 = 3.39/x
  3. Step 3: Cross multiply
    8.46x = 12.69 × 3.39
  4. Step 4: Simplify right side
    8.46x = 43.02
  5. Step 5: Solve for x
    x = 43.02/8.46
  6. Step 6: Final answer
    x = 5.09

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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.