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Finding the Fourth Proportional to 122.70, 170.11 and 116.54

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Solution

The fourth proportional to 122.70, 170.11 and 116.54 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 170.11 = 116.54 : x
  2. Step 2: Convert to fraction form
    122.70/170.11 = 116.54/x
  3. Step 3: Cross multiply
    122.70x = 170.11 × 116.54
  4. Step 4: Simplify right side
    122.70x = 19,824.62
  5. Step 5: Solve for x
    x = 19,824.62/122.70
  6. Step 6: Final answer
    x = 161.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.