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Finding the Fourth Proportional to 29.92, 41.20 and 27.19

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Solution

The fourth proportional to 29.92, 41.20 and 27.19 is: 37.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.92 : 41.20 = 27.19 : x
  2. Step 2: Convert to fraction form
    29.92/41.20 = 27.19/x
  3. Step 3: Cross multiply
    29.92x = 41.20 × 27.19
  4. Step 4: Simplify right side
    29.92x = 1,120.23
  5. Step 5: Solve for x
    x = 1,120.23/29.92
  6. Step 6: Final answer
    x = 37.44

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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.