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Finding the Fourth Proportional to 127.94, 192.14 and 121.46

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Solution

The fourth proportional to 127.94, 192.14 and 121.46 is: 182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.94 : 192.14 = 121.46 : x
  2. Step 2: Convert to fraction form
    127.94/192.14 = 121.46/x
  3. Step 3: Cross multiply
    127.94x = 192.14 × 121.46
  4. Step 4: Simplify right side
    127.94x = 23,337.32
  5. Step 5: Solve for x
    x = 23,337.32/127.94
  6. Step 6: Final answer
    x = 182.41

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