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Finding the Fourth Proportional to 103.41, 155.09 and 31.27

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Solution

The fourth proportional to 103.41, 155.09 and 31.27 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.41 : 155.09 = 31.27 : x
  2. Step 2: Convert to fraction form
    103.41/155.09 = 31.27/x
  3. Step 3: Cross multiply
    103.41x = 155.09 × 31.27
  4. Step 4: Simplify right side
    103.41x = 4,849.12
  5. Step 5: Solve for x
    x = 4,849.12/103.41
  6. Step 6: Final answer
    x = 46.89

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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.