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Finding the Fourth Proportional to 127.86, 192.00 and 122.09

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Solution

The fourth proportional to 127.86, 192.00 and 122.09 is: 183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 192.00 = 122.09 : x
  2. Step 2: Convert to fraction form
    127.86/192.00 = 122.09/x
  3. Step 3: Cross multiply
    127.86x = 192.00 × 122.09
  4. Step 4: Simplify right side
    127.86x = 23,440.78
  5. Step 5: Solve for x
    x = 23,440.78/127.86
  6. Step 6: Final answer
    x = 183.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.