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Finding the Fourth Proportional to 122.72, 183.14 and 107.36

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Solution

The fourth proportional to 122.72, 183.14 and 107.36 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 183.14 = 107.36 : x
  2. Step 2: Convert to fraction form
    122.72/183.14 = 107.36/x
  3. Step 3: Cross multiply
    122.72x = 183.14 × 107.36
  4. Step 4: Simplify right side
    122.72x = 19,661.91
  5. Step 5: Solve for x
    x = 19,661.91/122.72
  6. Step 6: Final answer
    x = 160.22

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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.