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Finding the Fourth Proportional to 30.82, 46.21 and 22.78

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Solution

The fourth proportional to 30.82, 46.21 and 22.78 is: 34.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.82 : 46.21 = 22.78 : x
  2. Step 2: Convert to fraction form
    30.82/46.21 = 22.78/x
  3. Step 3: Cross multiply
    30.82x = 46.21 × 22.78
  4. Step 4: Simplify right side
    30.82x = 1,052.66
  5. Step 5: Solve for x
    x = 1,052.66/30.82
  6. Step 6: Final answer
    x = 34.16

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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.