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Finding the Fourth Proportional to 103.37, 155.09 and 54.62

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Solution

The fourth proportional to 103.37, 155.09 and 54.62 is: 81.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.37 : 155.09 = 54.62 : x
  2. Step 2: Convert to fraction form
    103.37/155.09 = 54.62/x
  3. Step 3: Cross multiply
    103.37x = 155.09 × 54.62
  4. Step 4: Simplify right side
    103.37x = 8,470.17
  5. Step 5: Solve for x
    x = 8,470.17/103.37
  6. Step 6: Final answer
    x = 81.94

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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.