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Finding the Fourth Proportional to 189.12, 283.82 and 107.96

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Solution

The fourth proportional to 189.12, 283.82 and 107.96 is: 162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 283.82 = 107.96 : x
  2. Step 2: Convert to fraction form
    189.12/283.82 = 107.96/x
  3. Step 3: Cross multiply
    189.12x = 283.82 × 107.96
  4. Step 4: Simplify right side
    189.12x = 30,641.21
  5. Step 5: Solve for x
    x = 30,641.21/189.12
  6. Step 6: Final answer
    x = 162.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.