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Finding the Fourth Proportional to 113.62, 169.39 and 113.14

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Solution

The fourth proportional to 113.62, 169.39 and 113.14 is: 168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.62 : 169.39 = 113.14 : x
  2. Step 2: Convert to fraction form
    113.62/169.39 = 113.14/x
  3. Step 3: Cross multiply
    113.62x = 169.39 × 113.14
  4. Step 4: Simplify right side
    113.62x = 19,164.78
  5. Step 5: Solve for x
    x = 19,164.78/113.62
  6. Step 6: Final answer
    x = 168.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.