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Finding the Fourth Proportional to 189.05, 283.48 and 80.83

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Solution

The fourth proportional to 189.05, 283.48 and 80.83 is: 121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 283.48 = 80.83 : x
  2. Step 2: Convert to fraction form
    189.05/283.48 = 80.83/x
  3. Step 3: Cross multiply
    189.05x = 283.48 × 80.83
  4. Step 4: Simplify right side
    189.05x = 22,913.69
  5. Step 5: Solve for x
    x = 22,913.69/189.05
  6. Step 6: Final answer
    x = 121.20

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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.