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Finding the Fourth Proportional to 23.06, 31.85 and 22.79

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Solution

The fourth proportional to 23.06, 31.85 and 22.79 is: 31.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 31.85 = 22.79 : x
  2. Step 2: Convert to fraction form
    23.06/31.85 = 22.79/x
  3. Step 3: Cross multiply
    23.06x = 31.85 × 22.79
  4. Step 4: Simplify right side
    23.06x = 725.86
  5. Step 5: Solve for x
    x = 725.86/23.06
  6. Step 6: Final answer
    x = 31.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.