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Finding the Fourth Proportional to 122.14, 182.35 and 110.80

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Solution

The fourth proportional to 122.14, 182.35 and 110.80 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 182.35 = 110.80 : x
  2. Step 2: Convert to fraction form
    122.14/182.35 = 110.80/x
  3. Step 3: Cross multiply
    122.14x = 182.35 × 110.80
  4. Step 4: Simplify right side
    122.14x = 20,204.38
  5. Step 5: Solve for x
    x = 20,204.38/122.14
  6. Step 6: Final answer
    x = 165.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.