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Finding the Fourth Proportional to 189.05, 283.14 and 107.69

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Solution

The fourth proportional to 189.05, 283.14 and 107.69 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 283.14 = 107.69 : x
  2. Step 2: Convert to fraction form
    189.05/283.14 = 107.69/x
  3. Step 3: Cross multiply
    189.05x = 283.14 × 107.69
  4. Step 4: Simplify right side
    189.05x = 30,489.93
  5. Step 5: Solve for x
    x = 30,489.93/189.05
  6. Step 6: Final answer
    x = 161.28

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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.