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Finding the Fourth Proportional to 289.14, 433.70 and 83.73

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Solution

The fourth proportional to 289.14, 433.70 and 83.73 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 433.70 = 83.73 : x
  2. Step 2: Convert to fraction form
    289.14/433.70 = 83.73/x
  3. Step 3: Cross multiply
    289.14x = 433.70 × 83.73
  4. Step 4: Simplify right side
    289.14x = 36,313.70
  5. Step 5: Solve for x
    x = 36,313.70/289.14
  6. Step 6: Final answer
    x = 125.59

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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.