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Finding the Fourth Proportional to 120.44, 165.84 and 106.68

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Solution

The fourth proportional to 120.44, 165.84 and 106.68 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.44 : 165.84 = 106.68 : x
  2. Step 2: Convert to fraction form
    120.44/165.84 = 106.68/x
  3. Step 3: Cross multiply
    120.44x = 165.84 × 106.68
  4. Step 4: Simplify right side
    120.44x = 17,691.81
  5. Step 5: Solve for x
    x = 17,691.81/120.44
  6. Step 6: Final answer
    x = 146.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.