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Finding the Fourth Proportional to 127.73, 175.91 and 109.31

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Solution

The fourth proportional to 127.73, 175.91 and 109.31 is: 150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.73 : 175.91 = 109.31 : x
  2. Step 2: Convert to fraction form
    127.73/175.91 = 109.31/x
  3. Step 3: Cross multiply
    127.73x = 175.91 × 109.31
  4. Step 4: Simplify right side
    127.73x = 19,227.30
  5. Step 5: Solve for x
    x = 19,227.30/127.73
  6. Step 6: Final answer
    x = 150.53

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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.