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Finding the Fourth Proportional to 21.38, 31.96 and 15.64

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Solution

The fourth proportional to 21.38, 31.96 and 15.64 is: 23.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.38 : 31.96 = 15.64 : x
  2. Step 2: Convert to fraction form
    21.38/31.96 = 15.64/x
  3. Step 3: Cross multiply
    21.38x = 31.96 × 15.64
  4. Step 4: Simplify right side
    21.38x = 499.79
  5. Step 5: Solve for x
    x = 499.79/21.38
  6. Step 6: Final answer
    x = 23.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.