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Finding the Fourth Proportional to 120.24, 165.82 and 78.83

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Solution

The fourth proportional to 120.24, 165.82 and 78.83 is: 108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 165.82 = 78.83 : x
  2. Step 2: Convert to fraction form
    120.24/165.82 = 78.83/x
  3. Step 3: Cross multiply
    120.24x = 165.82 × 78.83
  4. Step 4: Simplify right side
    120.24x = 13,071.90
  5. Step 5: Solve for x
    x = 13,071.90/120.24
  6. Step 6: Final answer
    x = 108.71

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Why These Related Problems?

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