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Finding the Fourth Proportional to 127.14, 190.76 and 106.79

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Solution

The fourth proportional to 127.14, 190.76 and 106.79 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 190.76 = 106.79 : x
  2. Step 2: Convert to fraction form
    127.14/190.76 = 106.79/x
  3. Step 3: Cross multiply
    127.14x = 190.76 × 106.79
  4. Step 4: Simplify right side
    127.14x = 20,369.77
  5. Step 5: Solve for x
    x = 20,369.77/127.14
  6. Step 6: Final answer
    x = 160.22

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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.