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Finding the Fourth Proportional to 8.24, 12.34 and 4.22

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Solution

The fourth proportional to 8.24, 12.34 and 4.22 is: 6.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.24 : 12.34 = 4.22 : x
  2. Step 2: Convert to fraction form
    8.24/12.34 = 4.22/x
  3. Step 3: Cross multiply
    8.24x = 12.34 × 4.22
  4. Step 4: Simplify right side
    8.24x = 52.04
  5. Step 5: Solve for x
    x = 52.04/8.24
  6. Step 6: Final answer
    x = 6.32

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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.