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Finding the Fourth Proportional to 23.86, 32.83 and 23.12

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Solution

The fourth proportional to 23.86, 32.83 and 23.12 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.86 : 32.83 = 23.12 : x
  2. Step 2: Convert to fraction form
    23.86/32.83 = 23.12/x
  3. Step 3: Cross multiply
    23.86x = 32.83 × 23.12
  4. Step 4: Simplify right side
    23.86x = 759.03
  5. Step 5: Solve for x
    x = 759.03/23.86
  6. Step 6: Final answer
    x = 31.81

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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.