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Finding the Fourth Proportional to 122.08, 168.53 and 82.95

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Solution

The fourth proportional to 122.08, 168.53 and 82.95 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 168.53 = 82.95 : x
  2. Step 2: Convert to fraction form
    122.08/168.53 = 82.95/x
  3. Step 3: Cross multiply
    122.08x = 168.53 × 82.95
  4. Step 4: Simplify right side
    122.08x = 13,979.14
  5. Step 5: Solve for x
    x = 13,979.14/122.08
  6. Step 6: Final answer
    x = 114.51

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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.