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Finding the Fourth Proportional to 23.32, 31.96 and 23.27

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Solution

The fourth proportional to 23.32, 31.96 and 23.27 is: 31.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.32 : 31.96 = 23.27 : x
  2. Step 2: Convert to fraction form
    23.32/31.96 = 23.27/x
  3. Step 3: Cross multiply
    23.32x = 31.96 × 23.27
  4. Step 4: Simplify right side
    23.32x = 743.71
  5. Step 5: Solve for x
    x = 743.71/23.32
  6. Step 6: Final answer
    x = 31.90

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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.