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Finding the Fourth Proportional to 122.51, 168.82 and 96.22

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Solution

The fourth proportional to 122.51, 168.82 and 96.22 is: 132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.51 : 168.82 = 96.22 : x
  2. Step 2: Convert to fraction form
    122.51/168.82 = 96.22/x
  3. Step 3: Cross multiply
    122.51x = 168.82 × 96.22
  4. Step 4: Simplify right side
    122.51x = 16,243.83
  5. Step 5: Solve for x
    x = 16,243.83/122.51
  6. Step 6: Final answer
    x = 132.59

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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.