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Finding the Fourth Proportional to 8.27, 12.42 and 5.42

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Solution

The fourth proportional to 8.27, 12.42 and 5.42 is: 8.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.27 : 12.42 = 5.42 : x
  2. Step 2: Convert to fraction form
    8.27/12.42 = 5.42/x
  3. Step 3: Cross multiply
    8.27x = 12.42 × 5.42
  4. Step 4: Simplify right side
    8.27x = 67.23
  5. Step 5: Solve for x
    x = 67.23/8.27
  6. Step 6: Final answer
    x = 8.13

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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.