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Finding the Fourth Proportional to 122.08, 168.60 and 109.32

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Solution

The fourth proportional to 122.08, 168.60 and 109.32 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 168.60 = 109.32 : x
  2. Step 2: Convert to fraction form
    122.08/168.60 = 109.32/x
  3. Step 3: Cross multiply
    122.08x = 168.60 × 109.32
  4. Step 4: Simplify right side
    122.08x = 18,431.35
  5. Step 5: Solve for x
    x = 18,431.35/122.08
  6. Step 6: Final answer
    x = 150.98

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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.