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Finding the Fourth Proportional to 23.09, 32.11 and 22.59

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Solution

The fourth proportional to 23.09, 32.11 and 22.59 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 32.11 = 22.59 : x
  2. Step 2: Convert to fraction form
    23.09/32.11 = 22.59/x
  3. Step 3: Cross multiply
    23.09x = 32.11 × 22.59
  4. Step 4: Simplify right side
    23.09x = 725.31
  5. Step 5: Solve for x
    x = 725.31/23.09
  6. Step 6: Final answer
    x = 31.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.