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Finding the Fourth Proportional to 33.98, 50.91 and 23.30

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Solution

The fourth proportional to 33.98, 50.91 and 23.30 is: 34.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.98 : 50.91 = 23.30 : x
  2. Step 2: Convert to fraction form
    33.98/50.91 = 23.30/x
  3. Step 3: Cross multiply
    33.98x = 50.91 × 23.30
  4. Step 4: Simplify right side
    33.98x = 1,186.20
  5. Step 5: Solve for x
    x = 1,186.20/33.98
  6. Step 6: Final answer
    x = 34.91

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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.