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Finding the Fourth Proportional to 127.16, 190.68 and 107.84

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Solution

The fourth proportional to 127.16, 190.68 and 107.84 is: 161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 190.68 = 107.84 : x
  2. Step 2: Convert to fraction form
    127.16/190.68 = 107.84/x
  3. Step 3: Cross multiply
    127.16x = 190.68 × 107.84
  4. Step 4: Simplify right side
    127.16x = 20,562.93
  5. Step 5: Solve for x
    x = 20,562.93/127.16
  6. Step 6: Final answer
    x = 161.71

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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.