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Finding the Fourth Proportional to 33.23, 49.77 and 23.09

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Solution

The fourth proportional to 33.23, 49.77 and 23.09 is: 34.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.23 : 49.77 = 23.09 : x
  2. Step 2: Convert to fraction form
    33.23/49.77 = 23.09/x
  3. Step 3: Cross multiply
    33.23x = 49.77 × 23.09
  4. Step 4: Simplify right side
    33.23x = 1,149.26
  5. Step 5: Solve for x
    x = 1,149.26/33.23
  6. Step 6: Final answer
    x = 34.58

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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.