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Finding the Fourth Proportional to 29.92, 41.24 and 20.20

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Solution

The fourth proportional to 29.92, 41.24 and 20.20 is: 27.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.92 : 41.24 = 20.20 : x
  2. Step 2: Convert to fraction form
    29.92/41.24 = 20.20/x
  3. Step 3: Cross multiply
    29.92x = 41.24 × 20.20
  4. Step 4: Simplify right side
    29.92x = 833.05
  5. Step 5: Solve for x
    x = 833.05/29.92
  6. Step 6: Final answer
    x = 27.84

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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.