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Finding the Fourth Proportional to 122.01, 168.24 and 78.33

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Solution

The fourth proportional to 122.01, 168.24 and 78.33 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.01 : 168.24 = 78.33 : x
  2. Step 2: Convert to fraction form
    122.01/168.24 = 78.33/x
  3. Step 3: Cross multiply
    122.01x = 168.24 × 78.33
  4. Step 4: Simplify right side
    122.01x = 13,178.24
  5. Step 5: Solve for x
    x = 13,178.24/122.01
  6. Step 6: Final answer
    x = 108.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.