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Finding the Fourth Proportional to 122.32, 168.80 and 83.60

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Solution

The fourth proportional to 122.32, 168.80 and 83.60 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 168.80 = 83.60 : x
  2. Step 2: Convert to fraction form
    122.32/168.80 = 83.60/x
  3. Step 3: Cross multiply
    122.32x = 168.80 × 83.60
  4. Step 4: Simplify right side
    122.32x = 14,111.68
  5. Step 5: Solve for x
    x = 14,111.68/122.32
  6. Step 6: Final answer
    x = 115.37

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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.