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Finding the Fourth Proportional to 31.09, 42.92 and 23.83

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Solution

The fourth proportional to 31.09, 42.92 and 23.83 is: 32.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.09 : 42.92 = 23.83 : x
  2. Step 2: Convert to fraction form
    31.09/42.92 = 23.83/x
  3. Step 3: Cross multiply
    31.09x = 42.92 × 23.83
  4. Step 4: Simplify right side
    31.09x = 1,022.78
  5. Step 5: Solve for x
    x = 1,022.78/31.09
  6. Step 6: Final answer
    x = 32.90

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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.