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Finding the Fourth Proportional to 127.85, 190.72 and 113.27

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Solution

The fourth proportional to 127.85, 190.72 and 113.27 is: 168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.85 : 190.72 = 113.27 : x
  2. Step 2: Convert to fraction form
    127.85/190.72 = 113.27/x
  3. Step 3: Cross multiply
    127.85x = 190.72 × 113.27
  4. Step 4: Simplify right side
    127.85x = 21,602.04
  5. Step 5: Solve for x
    x = 21,602.04/127.85
  6. Step 6: Final answer
    x = 168.97

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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.