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Finding the Fourth Proportional to 122.02, 168.31 and 78.32

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Solution

The fourth proportional to 122.02, 168.31 and 78.32 is: 108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 168.31 = 78.32 : x
  2. Step 2: Convert to fraction form
    122.02/168.31 = 78.32/x
  3. Step 3: Cross multiply
    122.02x = 168.31 × 78.32
  4. Step 4: Simplify right side
    122.02x = 13,182.04
  5. Step 5: Solve for x
    x = 13,182.04/122.02
  6. Step 6: Final answer
    x = 108.03

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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.