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Finding the Fourth Proportional to 107.68, 161.94 and 75.88

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Solution

The fourth proportional to 107.68, 161.94 and 75.88 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.68 : 161.94 = 75.88 : x
  2. Step 2: Convert to fraction form
    107.68/161.94 = 75.88/x
  3. Step 3: Cross multiply
    107.68x = 161.94 × 75.88
  4. Step 4: Simplify right side
    107.68x = 12,288.01
  5. Step 5: Solve for x
    x = 12,288.01/107.68
  6. Step 6: Final answer
    x = 114.12

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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.