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Finding the Fourth Proportional to 127.68, 176.32 and 120.86

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Solution

The fourth proportional to 127.68, 176.32 and 120.86 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.68 : 176.32 = 120.86 : x
  2. Step 2: Convert to fraction form
    127.68/176.32 = 120.86/x
  3. Step 3: Cross multiply
    127.68x = 176.32 × 120.86
  4. Step 4: Simplify right side
    127.68x = 21,310.04
  5. Step 5: Solve for x
    x = 21,310.04/127.68
  6. Step 6: Final answer
    x = 166.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.