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Finding the Fourth Proportional to 113.11, 169.24 and 106.94

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Solution

The fourth proportional to 113.11, 169.24 and 106.94 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.11 : 169.24 = 106.94 : x
  2. Step 2: Convert to fraction form
    113.11/169.24 = 106.94/x
  3. Step 3: Cross multiply
    113.11x = 169.24 × 106.94
  4. Step 4: Simplify right side
    113.11x = 18,097.68
  5. Step 5: Solve for x
    x = 18,097.68/113.11
  6. Step 6: Final answer
    x = 160.00

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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.