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Finding the Fourth Proportional to 113.10, 169.67 and 52.24

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Solution

The fourth proportional to 113.10, 169.67 and 52.24 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 169.67 = 52.24 : x
  2. Step 2: Convert to fraction form
    113.10/169.67 = 52.24/x
  3. Step 3: Cross multiply
    113.10x = 169.67 × 52.24
  4. Step 4: Simplify right side
    113.10x = 8,863.56
  5. Step 5: Solve for x
    x = 8,863.56/113.10
  6. Step 6: Final answer
    x = 78.37

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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.