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Finding the Fourth Proportional to 189.92, 262.11 and 107.04

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Solution

The fourth proportional to 189.92, 262.11 and 107.04 is: 147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 262.11 = 107.04 : x
  2. Step 2: Convert to fraction form
    189.92/262.11 = 107.04/x
  3. Step 3: Cross multiply
    189.92x = 262.11 × 107.04
  4. Step 4: Simplify right side
    189.92x = 28,056.25
  5. Step 5: Solve for x
    x = 28,056.25/189.92
  6. Step 6: Final answer
    x = 147.73

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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.