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Finding the Fourth Proportional to 122.29, 168.78 and 83.02

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Solution

The fourth proportional to 122.29, 168.78 and 83.02 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.29 : 168.78 = 83.02 : x
  2. Step 2: Convert to fraction form
    122.29/168.78 = 83.02/x
  3. Step 3: Cross multiply
    122.29x = 168.78 × 83.02
  4. Step 4: Simplify right side
    122.29x = 14,012.12
  5. Step 5: Solve for x
    x = 14,012.12/122.29
  6. Step 6: Final answer
    x = 114.58

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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.