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Finding the Fourth Proportional to 85.38, 127.90 and 39.67

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Solution

The fourth proportional to 85.38, 127.90 and 39.67 is: 59.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 127.90 = 39.67 : x
  2. Step 2: Convert to fraction form
    85.38/127.90 = 39.67/x
  3. Step 3: Cross multiply
    85.38x = 127.90 × 39.67
  4. Step 4: Simplify right side
    85.38x = 5,073.57
  5. Step 5: Solve for x
    x = 5,073.57/85.38
  6. Step 6: Final answer
    x = 59.42

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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.