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Finding the Fourth Proportional to 127.67, 191.30 and 107.49

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Solution

The fourth proportional to 127.67, 191.30 and 107.49 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.67 : 191.30 = 107.49 : x
  2. Step 2: Convert to fraction form
    127.67/191.30 = 107.49/x
  3. Step 3: Cross multiply
    127.67x = 191.30 × 107.49
  4. Step 4: Simplify right side
    127.67x = 20,562.84
  5. Step 5: Solve for x
    x = 20,562.84/127.67
  6. Step 6: Final answer
    x = 161.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.