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Finding the Fourth Proportional to 120.97, 166.89 and 77.30

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Solution

The fourth proportional to 120.97, 166.89 and 77.30 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.97 : 166.89 = 77.30 : x
  2. Step 2: Convert to fraction form
    120.97/166.89 = 77.30/x
  3. Step 3: Cross multiply
    120.97x = 166.89 × 77.30
  4. Step 4: Simplify right side
    120.97x = 12,900.18
  5. Step 5: Solve for x
    x = 12,900.18/120.97
  6. Step 6: Final answer
    x = 106.64

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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.