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Finding the Fourth Proportional to 8.14, 12.18 and 4.56

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Solution

The fourth proportional to 8.14, 12.18 and 4.56 is: 6.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.14 : 12.18 = 4.56 : x
  2. Step 2: Convert to fraction form
    8.14/12.18 = 4.56/x
  3. Step 3: Cross multiply
    8.14x = 12.18 × 4.56
  4. Step 4: Simplify right side
    8.14x = 55.54
  5. Step 5: Solve for x
    x = 55.54/8.14
  6. Step 6: Final answer
    x = 6.82

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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.