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Finding the Fourth Proportional to 33.22, 49.93 and 24.68

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Solution

The fourth proportional to 33.22, 49.93 and 24.68 is: 37.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.22 : 49.93 = 24.68 : x
  2. Step 2: Convert to fraction form
    33.22/49.93 = 24.68/x
  3. Step 3: Cross multiply
    33.22x = 49.93 × 24.68
  4. Step 4: Simplify right side
    33.22x = 1,232.34
  5. Step 5: Solve for x
    x = 1,232.34/33.22
  6. Step 6: Final answer
    x = 37.09

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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.