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Finding the Fourth Proportional to 113.64, 170.42 and 36.59

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Solution

The fourth proportional to 113.64, 170.42 and 36.59 is: 54.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 170.42 = 36.59 : x
  2. Step 2: Convert to fraction form
    113.64/170.42 = 36.59/x
  3. Step 3: Cross multiply
    113.64x = 170.42 × 36.59
  4. Step 4: Simplify right side
    113.64x = 6,234.91
  5. Step 5: Solve for x
    x = 6,234.91/113.64
  6. Step 6: Final answer
    x = 54.87

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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.