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Finding the Fourth Proportional to 122.68, 169.38 and 109.72

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Solution

The fourth proportional to 122.68, 169.38 and 109.72 is: 151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.68 : 169.38 = 109.72 : x
  2. Step 2: Convert to fraction form
    122.68/169.38 = 109.72/x
  3. Step 3: Cross multiply
    122.68x = 169.38 × 109.72
  4. Step 4: Simplify right side
    122.68x = 18,584.37
  5. Step 5: Solve for x
    x = 18,584.37/122.68
  6. Step 6: Final answer
    x = 151.49

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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.