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Finding the Fourth Proportional to 127.27, 176.45 and 120.68

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Solution

The fourth proportional to 127.27, 176.45 and 120.68 is: 167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.27 : 176.45 = 120.68 : x
  2. Step 2: Convert to fraction form
    127.27/176.45 = 120.68/x
  3. Step 3: Cross multiply
    127.27x = 176.45 × 120.68
  4. Step 4: Simplify right side
    127.27x = 21,294.15
  5. Step 5: Solve for x
    x = 21,294.15/127.27
  6. Step 6: Final answer
    x = 167.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.