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Finding the Fourth Proportional to 127.49, 175.85 and 80.85

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Solution

The fourth proportional to 127.49, 175.85 and 80.85 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.49 : 175.85 = 80.85 : x
  2. Step 2: Convert to fraction form
    127.49/175.85 = 80.85/x
  3. Step 3: Cross multiply
    127.49x = 175.85 × 80.85
  4. Step 4: Simplify right side
    127.49x = 14,217.47
  5. Step 5: Solve for x
    x = 14,217.47/127.49
  6. Step 6: Final answer
    x = 111.52

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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.