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Finding the Fourth Proportional to 122.08, 168.37 and 106.52

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Solution

The fourth proportional to 122.08, 168.37 and 106.52 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 168.37 = 106.52 : x
  2. Step 2: Convert to fraction form
    122.08/168.37 = 106.52/x
  3. Step 3: Cross multiply
    122.08x = 168.37 × 106.52
  4. Step 4: Simplify right side
    122.08x = 17,934.77
  5. Step 5: Solve for x
    x = 17,934.77/122.08
  6. Step 6: Final answer
    x = 146.91

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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.