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Finding the Fourth Proportional to 127.07, 176.21 and 122.97

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Solution

The fourth proportional to 127.07, 176.21 and 122.97 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.07 : 176.21 = 122.97 : x
  2. Step 2: Convert to fraction form
    127.07/176.21 = 122.97/x
  3. Step 3: Cross multiply
    127.07x = 176.21 × 122.97
  4. Step 4: Simplify right side
    127.07x = 21,667.93
  5. Step 5: Solve for x
    x = 21,667.93/127.07
  6. Step 6: Final answer
    x = 170.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.