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Finding the Fourth Proportional to 122.92, 170.51 and 113.81

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Solution

The fourth proportional to 122.92, 170.51 and 113.81 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 170.51 = 113.81 : x
  2. Step 2: Convert to fraction form
    122.92/170.51 = 113.81/x
  3. Step 3: Cross multiply
    122.92x = 170.51 × 113.81
  4. Step 4: Simplify right side
    122.92x = 19,404.32
  5. Step 5: Solve for x
    x = 19,404.32/122.92
  6. Step 6: Final answer
    x = 157.86

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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.