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Finding the Fourth Proportional to 127.06, 189.48 and 122.14

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Solution

The fourth proportional to 127.06, 189.48 and 122.14 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.06 : 189.48 = 122.14 : x
  2. Step 2: Convert to fraction form
    127.06/189.48 = 122.14/x
  3. Step 3: Cross multiply
    127.06x = 189.48 × 122.14
  4. Step 4: Simplify right side
    127.06x = 23,143.09
  5. Step 5: Solve for x
    x = 23,143.09/127.06
  6. Step 6: Final answer
    x = 182.14

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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.