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Finding the Fourth Proportional to 31.34, 43.24 and 19.68

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Solution

The fourth proportional to 31.34, 43.24 and 19.68 is: 27.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.34 : 43.24 = 19.68 : x
  2. Step 2: Convert to fraction form
    31.34/43.24 = 19.68/x
  3. Step 3: Cross multiply
    31.34x = 43.24 × 19.68
  4. Step 4: Simplify right side
    31.34x = 850.96
  5. Step 5: Solve for x
    x = 850.96/31.34
  6. Step 6: Final answer
    x = 27.15

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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.