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Finding the Fourth Proportional to 29.97, 44.83 and 22.34

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Solution

The fourth proportional to 29.97, 44.83 and 22.34 is: 33.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.97 : 44.83 = 22.34 : x
  2. Step 2: Convert to fraction form
    29.97/44.83 = 22.34/x
  3. Step 3: Cross multiply
    29.97x = 44.83 × 22.34
  4. Step 4: Simplify right side
    29.97x = 1,001.50
  5. Step 5: Solve for x
    x = 1,001.50/29.97
  6. Step 6: Final answer
    x = 33.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.