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Finding the Fourth Proportional to 103.96, 155.61 and 76.48

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Solution

The fourth proportional to 103.96, 155.61 and 76.48 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 155.61 = 76.48 : x
  2. Step 2: Convert to fraction form
    103.96/155.61 = 76.48/x
  3. Step 3: Cross multiply
    103.96x = 155.61 × 76.48
  4. Step 4: Simplify right side
    103.96x = 11,901.05
  5. Step 5: Solve for x
    x = 11,901.05/103.96
  6. Step 6: Final answer
    x = 114.48

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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.