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Finding the Fourth Proportional to 127.38, 189.92 and 120.49

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Solution

The fourth proportional to 127.38, 189.92 and 120.49 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 189.92 = 120.49 : x
  2. Step 2: Convert to fraction form
    127.38/189.92 = 120.49/x
  3. Step 3: Cross multiply
    127.38x = 189.92 × 120.49
  4. Step 4: Simplify right side
    127.38x = 22,883.46
  5. Step 5: Solve for x
    x = 22,883.46/127.38
  6. Step 6: Final answer
    x = 179.65

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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.