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Finding the Fourth Proportional to 31.74, 43.83 and 20.26

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Solution

The fourth proportional to 31.74, 43.83 and 20.26 is: 27.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 43.83 = 20.26 : x
  2. Step 2: Convert to fraction form
    31.74/43.83 = 20.26/x
  3. Step 3: Cross multiply
    31.74x = 43.83 × 20.26
  4. Step 4: Simplify right side
    31.74x = 888.00
  5. Step 5: Solve for x
    x = 888.00/31.74
  6. Step 6: Final answer
    x = 27.98

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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.