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Finding the Fourth Proportional to 127.26, 175.37 and 107.82

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Solution

The fourth proportional to 127.26, 175.37 and 107.82 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 175.37 = 107.82 : x
  2. Step 2: Convert to fraction form
    127.26/175.37 = 107.82/x
  3. Step 3: Cross multiply
    127.26x = 175.37 × 107.82
  4. Step 4: Simplify right side
    127.26x = 18,907.85
  5. Step 5: Solve for x
    x = 18,907.85/127.26
  6. Step 6: Final answer
    x = 148.58

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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.