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Finding the Fourth Proportional to 127.37, 192.00 and 119.94

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Solution

The fourth proportional to 127.37, 192.00 and 119.94 is: 180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.37 : 192.00 = 119.94 : x
  2. Step 2: Convert to fraction form
    127.37/192.00 = 119.94/x
  3. Step 3: Cross multiply
    127.37x = 192.00 × 119.94
  4. Step 4: Simplify right side
    127.37x = 23,027.40
  5. Step 5: Solve for x
    x = 23,027.40/127.37
  6. Step 6: Final answer
    x = 180.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.