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Finding the Fourth Proportional to 123.92, 184.96 and 120.14

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Solution

The fourth proportional to 123.92, 184.96 and 120.14 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 184.96 = 120.14 : x
  2. Step 2: Convert to fraction form
    123.92/184.96 = 120.14/x
  3. Step 3: Cross multiply
    123.92x = 184.96 × 120.14
  4. Step 4: Simplify right side
    123.92x = 22,221.09
  5. Step 5: Solve for x
    x = 22,221.09/123.92
  6. Step 6: Final answer
    x = 179.32

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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.