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Finding the Fourth Proportional to 127.62, 175.77 and 104.27

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Solution

The fourth proportional to 127.62, 175.77 and 104.27 is: 143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 175.77 = 104.27 : x
  2. Step 2: Convert to fraction form
    127.62/175.77 = 104.27/x
  3. Step 3: Cross multiply
    127.62x = 175.77 × 104.27
  4. Step 4: Simplify right side
    127.62x = 18,326.66
  5. Step 5: Solve for x
    x = 18,326.66/127.62
  6. Step 6: Final answer
    x = 143.60

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