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Finding the Fourth Proportional to 29.97, 41.31 and 23.83

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Solution

The fourth proportional to 29.97, 41.31 and 23.83 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.97 : 41.31 = 23.83 : x
  2. Step 2: Convert to fraction form
    29.97/41.31 = 23.83/x
  3. Step 3: Cross multiply
    29.97x = 41.31 × 23.83
  4. Step 4: Simplify right side
    29.97x = 984.31
  5. Step 5: Solve for x
    x = 984.31/29.97
  6. Step 6: Final answer
    x = 32.84

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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.