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Finding the Fourth Proportional to 113.38, 169.33 and 92.85

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Solution

The fourth proportional to 113.38, 169.33 and 92.85 is: 138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 169.33 = 92.85 : x
  2. Step 2: Convert to fraction form
    113.38/169.33 = 92.85/x
  3. Step 3: Cross multiply
    113.38x = 169.33 × 92.85
  4. Step 4: Simplify right side
    113.38x = 15,722.29
  5. Step 5: Solve for x
    x = 15,722.29/113.38
  6. Step 6: Final answer
    x = 138.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.