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Finding the Fourth Proportional to 122.06, 168.46 and 102.62

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Solution

The fourth proportional to 122.06, 168.46 and 102.62 is: 141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 168.46 = 102.62 : x
  2. Step 2: Convert to fraction form
    122.06/168.46 = 102.62/x
  3. Step 3: Cross multiply
    122.06x = 168.46 × 102.62
  4. Step 4: Simplify right side
    122.06x = 17,287.37
  5. Step 5: Solve for x
    x = 17,287.37/122.06
  6. Step 6: Final answer
    x = 141.63

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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.