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Finding the Fourth Proportional to 23.07, 31.96 and 22.59

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Solution

The fourth proportional to 23.07, 31.96 and 22.59 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.07 : 31.96 = 22.59 : x
  2. Step 2: Convert to fraction form
    23.07/31.96 = 22.59/x
  3. Step 3: Cross multiply
    23.07x = 31.96 × 22.59
  4. Step 4: Simplify right side
    23.07x = 721.92
  5. Step 5: Solve for x
    x = 721.92/23.07
  6. Step 6: Final answer
    x = 31.29

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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.