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Finding the Fourth Proportional to 23.81, 35.70 and 8.38

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Solution

The fourth proportional to 23.81, 35.70 and 8.38 is: 12.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.81 : 35.70 = 8.38 : x
  2. Step 2: Convert to fraction form
    23.81/35.70 = 8.38/x
  3. Step 3: Cross multiply
    23.81x = 35.70 × 8.38
  4. Step 4: Simplify right side
    23.81x = 299.17
  5. Step 5: Solve for x
    x = 299.17/23.81
  6. Step 6: Final answer
    x = 12.56

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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.