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Finding the Fourth Proportional to 122.06, 166.95 and 120.17

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Solution

The fourth proportional to 122.06, 166.95 and 120.17 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 166.95 = 120.17 : x
  2. Step 2: Convert to fraction form
    122.06/166.95 = 120.17/x
  3. Step 3: Cross multiply
    122.06x = 166.95 × 120.17
  4. Step 4: Simplify right side
    122.06x = 20,062.38
  5. Step 5: Solve for x
    x = 20,062.38/122.06
  6. Step 6: Final answer
    x = 164.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.