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Finding the Fourth Proportional to 29.97, 41.31 and 20.76

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Solution

The fourth proportional to 29.97, 41.31 and 20.76 is: 28.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.97 : 41.31 = 20.76 : x
  2. Step 2: Convert to fraction form
    29.97/41.31 = 20.76/x
  3. Step 3: Cross multiply
    29.97x = 41.31 × 20.76
  4. Step 4: Simplify right side
    29.97x = 857.44
  5. Step 5: Solve for x
    x = 857.44/29.97
  6. Step 6: Final answer
    x = 28.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.