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Finding the Fourth Proportional to 31.82, 43.96 and 23.64

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Solution

The fourth proportional to 31.82, 43.96 and 23.64 is: 32.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.82 : 43.96 = 23.64 : x
  2. Step 2: Convert to fraction form
    31.82/43.96 = 23.64/x
  3. Step 3: Cross multiply
    31.82x = 43.96 × 23.64
  4. Step 4: Simplify right side
    31.82x = 1,039.21
  5. Step 5: Solve for x
    x = 1,039.21/31.82
  6. Step 6: Final answer
    x = 32.66

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