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Finding the Fourth Proportional to 103.41, 155.12 and 31.27

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Solution

The fourth proportional to 103.41, 155.12 and 31.27 is: 46.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.41 : 155.12 = 31.27 : x
  2. Step 2: Convert to fraction form
    103.41/155.12 = 31.27/x
  3. Step 3: Cross multiply
    103.41x = 155.12 × 31.27
  4. Step 4: Simplify right side
    103.41x = 4,850.60
  5. Step 5: Solve for x
    x = 4,850.60/103.41
  6. Step 6: Final answer
    x = 46.91

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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.