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Finding the Fourth Proportional to 120.22, 165.82 and 78.79

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Solution

The fourth proportional to 120.22, 165.82 and 78.79 is: 108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 165.82 = 78.79 : x
  2. Step 2: Convert to fraction form
    120.22/165.82 = 78.79/x
  3. Step 3: Cross multiply
    120.22x = 165.82 × 78.79
  4. Step 4: Simplify right side
    120.22x = 13,064.96
  5. Step 5: Solve for x
    x = 13,064.96/120.22
  6. Step 6: Final answer
    x = 108.68

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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.