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Finding the Fourth Proportional to 122.71, 183.24 and 121.36

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Solution

The fourth proportional to 122.71, 183.24 and 121.36 is: 181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.71 : 183.24 = 121.36 : x
  2. Step 2: Convert to fraction form
    122.71/183.24 = 121.36/x
  3. Step 3: Cross multiply
    122.71x = 183.24 × 121.36
  4. Step 4: Simplify right side
    122.71x = 22,238.01
  5. Step 5: Solve for x
    x = 22,238.01/122.71
  6. Step 6: Final answer
    x = 181.22

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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.