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Finding the Fourth Proportional to 127.55, 176.09 and 83.97

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Solution

The fourth proportional to 127.55, 176.09 and 83.97 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.55 : 176.09 = 83.97 : x
  2. Step 2: Convert to fraction form
    127.55/176.09 = 83.97/x
  3. Step 3: Cross multiply
    127.55x = 176.09 × 83.97
  4. Step 4: Simplify right side
    127.55x = 14,785.86
  5. Step 5: Solve for x
    x = 14,785.86/127.55
  6. Step 6: Final answer
    x = 115.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.