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Finding the Fourth Proportional to 107.75, 161.55 and 49.96

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Solution

The fourth proportional to 107.75, 161.55 and 49.96 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.75 : 161.55 = 49.96 : x
  2. Step 2: Convert to fraction form
    107.75/161.55 = 49.96/x
  3. Step 3: Cross multiply
    107.75x = 161.55 × 49.96
  4. Step 4: Simplify right side
    107.75x = 8,071.04
  5. Step 5: Solve for x
    x = 8,071.04/107.75
  6. Step 6: Final answer
    x = 74.91

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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.