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Finding the Fourth Proportional to 127.86, 190.81 and 109.57

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Solution

The fourth proportional to 127.86, 190.81 and 109.57 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 190.81 = 109.57 : x
  2. Step 2: Convert to fraction form
    127.86/190.81 = 109.57/x
  3. Step 3: Cross multiply
    127.86x = 190.81 × 109.57
  4. Step 4: Simplify right side
    127.86x = 20,906.50
  5. Step 5: Solve for x
    x = 20,906.50/127.86
  6. Step 6: Final answer
    x = 163.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.