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Finding the Fourth Proportional to 120.89, 166.85 and 77.22

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Solution

The fourth proportional to 120.89, 166.85 and 77.22 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.89 : 166.85 = 77.22 : x
  2. Step 2: Convert to fraction form
    120.89/166.85 = 77.22/x
  3. Step 3: Cross multiply
    120.89x = 166.85 × 77.22
  4. Step 4: Simplify right side
    120.89x = 12,884.16
  5. Step 5: Solve for x
    x = 12,884.16/120.89
  6. Step 6: Final answer
    x = 106.58

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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.