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Finding the Fourth Proportional to 120.25, 166.08 and 81.55

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Solution

The fourth proportional to 120.25, 166.08 and 81.55 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.25 : 166.08 = 81.55 : x
  2. Step 2: Convert to fraction form
    120.25/166.08 = 81.55/x
  3. Step 3: Cross multiply
    120.25x = 166.08 × 81.55
  4. Step 4: Simplify right side
    120.25x = 13,543.82
  5. Step 5: Solve for x
    x = 13,543.82/120.25
  6. Step 6: Final answer
    x = 112.63

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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.