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Finding the Fourth Proportional to 9.21, 12.63 and 8.34

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Solution

The fourth proportional to 9.21, 12.63 and 8.34 is: 11.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.21 : 12.63 = 8.34 : x
  2. Step 2: Convert to fraction form
    9.21/12.63 = 8.34/x
  3. Step 3: Cross multiply
    9.21x = 12.63 × 8.34
  4. Step 4: Simplify right side
    9.21x = 105.33
  5. Step 5: Solve for x
    x = 105.33/9.21
  6. Step 6: Final answer
    x = 11.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.