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Finding the Fourth Proportional to 189.45, 284.05 and 86.59

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Solution

The fourth proportional to 189.45, 284.05 and 86.59 is: 129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.45 : 284.05 = 86.59 : x
  2. Step 2: Convert to fraction form
    189.45/284.05 = 86.59/x
  3. Step 3: Cross multiply
    189.45x = 284.05 × 86.59
  4. Step 4: Simplify right side
    189.45x = 24,596.35
  5. Step 5: Solve for x
    x = 24,596.35/189.45
  6. Step 6: Final answer
    x = 129.83

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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.