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Finding the Fourth Proportional to 122.32, 183.20 and 110.18

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Solution

The fourth proportional to 122.32, 183.20 and 110.18 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 183.20 = 110.18 : x
  2. Step 2: Convert to fraction form
    122.32/183.20 = 110.18/x
  3. Step 3: Cross multiply
    122.32x = 183.20 × 110.18
  4. Step 4: Simplify right side
    122.32x = 20,184.98
  5. Step 5: Solve for x
    x = 20,184.98/122.32
  6. Step 6: Final answer
    x = 165.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.