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Finding the Fourth Proportional to 33.24, 45.86 and 19.42

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Solution

The fourth proportional to 33.24, 45.86 and 19.42 is: 26.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.24 : 45.86 = 19.42 : x
  2. Step 2: Convert to fraction form
    33.24/45.86 = 19.42/x
  3. Step 3: Cross multiply
    33.24x = 45.86 × 19.42
  4. Step 4: Simplify right side
    33.24x = 890.46
  5. Step 5: Solve for x
    x = 890.46/33.24
  6. Step 6: Final answer
    x = 26.79

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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.