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Finding the Fourth Proportional to 122.20, 168.70 and 106.54

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Solution

The fourth proportional to 122.20, 168.70 and 106.54 is: 147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 168.70 = 106.54 : x
  2. Step 2: Convert to fraction form
    122.20/168.70 = 106.54/x
  3. Step 3: Cross multiply
    122.20x = 168.70 × 106.54
  4. Step 4: Simplify right side
    122.20x = 17,973.30
  5. Step 5: Solve for x
    x = 17,973.30/122.20
  6. Step 6: Final answer
    x = 147.08

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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.