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Finding the Fourth Proportional to 23.27, 31.95 and 23.18

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Solution

The fourth proportional to 23.27, 31.95 and 23.18 is: 31.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.27 : 31.95 = 23.18 : x
  2. Step 2: Convert to fraction form
    23.27/31.95 = 23.18/x
  3. Step 3: Cross multiply
    23.27x = 31.95 × 23.18
  4. Step 4: Simplify right side
    23.27x = 740.44
  5. Step 5: Solve for x
    x = 740.44/23.27
  6. Step 6: Final answer
    x = 31.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.