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Finding the Fourth Proportional to 29.78, 41.10 and 21.96

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Solution

The fourth proportional to 29.78, 41.10 and 21.96 is: 30.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.78 : 41.10 = 21.96 : x
  2. Step 2: Convert to fraction form
    29.78/41.10 = 21.96/x
  3. Step 3: Cross multiply
    29.78x = 41.10 × 21.96
  4. Step 4: Simplify right side
    29.78x = 902.56
  5. Step 5: Solve for x
    x = 902.56/29.78
  6. Step 6: Final answer
    x = 30.31

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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.