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Finding the Fourth Proportional to 120.34, 165.96 and 76.69

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Solution

The fourth proportional to 120.34, 165.96 and 76.69 is: 105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 165.96 = 76.69 : x
  2. Step 2: Convert to fraction form
    120.34/165.96 = 76.69/x
  3. Step 3: Cross multiply
    120.34x = 165.96 × 76.69
  4. Step 4: Simplify right side
    120.34x = 12,727.47
  5. Step 5: Solve for x
    x = 12,727.47/120.34
  6. Step 6: Final answer
    x = 105.76

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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.