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Finding the Fourth Proportional to 120.92, 180.48 and 107.24

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Solution

The fourth proportional to 120.92, 180.48 and 107.24 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.92 : 180.48 = 107.24 : x
  2. Step 2: Convert to fraction form
    120.92/180.48 = 107.24/x
  3. Step 3: Cross multiply
    120.92x = 180.48 × 107.24
  4. Step 4: Simplify right side
    120.92x = 19,354.68
  5. Step 5: Solve for x
    x = 19,354.68/120.92
  6. Step 6: Final answer
    x = 160.06

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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.