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Finding the Fourth Proportional to 29.96, 44.97 and 19.82

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Solution

The fourth proportional to 29.96, 44.97 and 19.82 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 44.97 = 19.82 : x
  2. Step 2: Convert to fraction form
    29.96/44.97 = 19.82/x
  3. Step 3: Cross multiply
    29.96x = 44.97 × 19.82
  4. Step 4: Simplify right side
    29.96x = 891.31
  5. Step 5: Solve for x
    x = 891.31/29.96
  6. Step 6: Final answer
    x = 29.75

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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.