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Finding the Fourth Proportional to 103.92, 155.89 and 31.78

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Solution

The fourth proportional to 103.92, 155.89 and 31.78 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.92 : 155.89 = 31.78 : x
  2. Step 2: Convert to fraction form
    103.92/155.89 = 31.78/x
  3. Step 3: Cross multiply
    103.92x = 155.89 × 31.78
  4. Step 4: Simplify right side
    103.92x = 4,954.24
  5. Step 5: Solve for x
    x = 4,954.24/103.92
  6. Step 6: Final answer
    x = 47.67

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Why These Related Problems?

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