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Finding the Fourth Proportional to 122.83, 168.94 and 106.49

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Solution

The fourth proportional to 122.83, 168.94 and 106.49 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 168.94 = 106.49 : x
  2. Step 2: Convert to fraction form
    122.83/168.94 = 106.49/x
  3. Step 3: Cross multiply
    122.83x = 168.94 × 106.49
  4. Step 4: Simplify right side
    122.83x = 17,990.42
  5. Step 5: Solve for x
    x = 17,990.42/122.83
  6. Step 6: Final answer
    x = 146.47

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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.