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Finding the Fourth Proportional to 120.26, 165.85 and 96.94

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Solution

The fourth proportional to 120.26, 165.85 and 96.94 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 165.85 = 96.94 : x
  2. Step 2: Convert to fraction form
    120.26/165.85 = 96.94/x
  3. Step 3: Cross multiply
    120.26x = 165.85 × 96.94
  4. Step 4: Simplify right side
    120.26x = 16,077.08
  5. Step 5: Solve for x
    x = 16,077.08/120.26
  6. Step 6: Final answer
    x = 133.69

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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.