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Finding the Fourth Proportional to 122.10, 184.08 and 110.36

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Solution

The fourth proportional to 122.10, 184.08 and 110.36 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 184.08 = 110.36 : x
  2. Step 2: Convert to fraction form
    122.10/184.08 = 110.36/x
  3. Step 3: Cross multiply
    122.10x = 184.08 × 110.36
  4. Step 4: Simplify right side
    122.10x = 20,314.15
  5. Step 5: Solve for x
    x = 20,314.15/122.10
  6. Step 6: Final answer
    x = 166.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.