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Finding the Fourth Proportional to 4.12, 6.14 and 3.78

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Solution

The fourth proportional to 4.12, 6.14 and 3.78 is: 5.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 6.14 = 3.78 : x
  2. Step 2: Convert to fraction form
    4.12/6.14 = 3.78/x
  3. Step 3: Cross multiply
    4.12x = 6.14 × 3.78
  4. Step 4: Simplify right side
    4.12x = 23.19
  5. Step 5: Solve for x
    x = 23.19/4.12
  6. Step 6: Final answer
    x = 5.63

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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.