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Finding the Fourth Proportional to 31.42, 43.33 and 20.50

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Solution

The fourth proportional to 31.42, 43.33 and 20.50 is: 28.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.42 : 43.33 = 20.50 : x
  2. Step 2: Convert to fraction form
    31.42/43.33 = 20.50/x
  3. Step 3: Cross multiply
    31.42x = 43.33 × 20.50
  4. Step 4: Simplify right side
    31.42x = 888.27
  5. Step 5: Solve for x
    x = 888.27/31.42
  6. Step 6: Final answer
    x = 28.27

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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.