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Finding the Fourth Proportional to 3.43, 5.12 and 3.12

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Solution

The fourth proportional to 3.43, 5.12 and 3.12 is: 4.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.43 : 5.12 = 3.12 : x
  2. Step 2: Convert to fraction form
    3.43/5.12 = 3.12/x
  3. Step 3: Cross multiply
    3.43x = 5.12 × 3.12
  4. Step 4: Simplify right side
    3.43x = 15.97
  5. Step 5: Solve for x
    x = 15.97/3.43
  6. Step 6: Final answer
    x = 4.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.