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Finding the Fourth Proportional to 23.05, 34.33 and 22.91

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Solution

The fourth proportional to 23.05, 34.33 and 22.91 is: 34.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 34.33 = 22.91 : x
  2. Step 2: Convert to fraction form
    23.05/34.33 = 22.91/x
  3. Step 3: Cross multiply
    23.05x = 34.33 × 22.91
  4. Step 4: Simplify right side
    23.05x = 786.39
  5. Step 5: Solve for x
    x = 786.39/23.05
  6. Step 6: Final answer
    x = 34.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.