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Finding the Fourth Proportional to 8.14, 11.24 and 6.33

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Solution

The fourth proportional to 8.14, 11.24 and 6.33 is: 8.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.14 : 11.24 = 6.33 : x
  2. Step 2: Convert to fraction form
    8.14/11.24 = 6.33/x
  3. Step 3: Cross multiply
    8.14x = 11.24 × 6.33
  4. Step 4: Simplify right side
    8.14x = 71.15
  5. Step 5: Solve for x
    x = 71.15/8.14
  6. Step 6: Final answer
    x = 8.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.