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Finding the Fourth Proportional to 31.81, 43.92 and 24.58

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Solution

The fourth proportional to 31.81, 43.92 and 24.58 is: 33.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.81 : 43.92 = 24.58 : x
  2. Step 2: Convert to fraction form
    31.81/43.92 = 24.58/x
  3. Step 3: Cross multiply
    31.81x = 43.92 × 24.58
  4. Step 4: Simplify right side
    31.81x = 1,079.55
  5. Step 5: Solve for x
    x = 1,079.55/31.81
  6. Step 6: Final answer
    x = 33.94

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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.