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Finding the Fourth Proportional to 127.80, 176.49 and 104.72

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Solution

The fourth proportional to 127.80, 176.49 and 104.72 is: 144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 176.49 = 104.72 : x
  2. Step 2: Convert to fraction form
    127.80/176.49 = 104.72/x
  3. Step 3: Cross multiply
    127.80x = 176.49 × 104.72
  4. Step 4: Simplify right side
    127.80x = 18,481.15
  5. Step 5: Solve for x
    x = 18,481.15/127.80
  6. Step 6: Final answer
    x = 144.61

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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.