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Finding the Fourth Proportional to 4.22, 6.34 and 4.08

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Solution

The fourth proportional to 4.22, 6.34 and 4.08 is: 6.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.22 : 6.34 = 4.08 : x
  2. Step 2: Convert to fraction form
    4.22/6.34 = 4.08/x
  3. Step 3: Cross multiply
    4.22x = 6.34 × 4.08
  4. Step 4: Simplify right side
    4.22x = 25.87
  5. Step 5: Solve for x
    x = 25.87/4.22
  6. Step 6: Final answer
    x = 6.13

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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.