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Finding the Fourth Proportional to 122.16, 168.65 and 83.03

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Solution

The fourth proportional to 122.16, 168.65 and 83.03 is: 114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.65 = 83.03 : x
  2. Step 2: Convert to fraction form
    122.16/168.65 = 83.03/x
  3. Step 3: Cross multiply
    122.16x = 168.65 × 83.03
  4. Step 4: Simplify right side
    122.16x = 14,003.01
  5. Step 5: Solve for x
    x = 14,003.01/122.16
  6. Step 6: Final answer
    x = 114.63

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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.