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Finding the Fourth Proportional to 31.74, 43.80 and 23.95

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Solution

The fourth proportional to 31.74, 43.80 and 23.95 is: 33.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 43.80 = 23.95 : x
  2. Step 2: Convert to fraction form
    31.74/43.80 = 23.95/x
  3. Step 3: Cross multiply
    31.74x = 43.80 × 23.95
  4. Step 4: Simplify right side
    31.74x = 1,049.04
  5. Step 5: Solve for x
    x = 1,049.04/31.74
  6. Step 6: Final answer
    x = 33.06

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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.