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Finding the Fourth Proportional to 136.46, 203.74 and 113.67

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Solution

The fourth proportional to 136.46, 203.74 and 113.67 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 203.74 = 113.67 : x
  2. Step 2: Convert to fraction form
    136.46/203.74 = 113.67/x
  3. Step 3: Cross multiply
    136.46x = 203.74 × 113.67
  4. Step 4: Simplify right side
    136.46x = 23,158.84
  5. Step 5: Solve for x
    x = 23,158.84/136.46
  6. Step 6: Final answer
    x = 169.71

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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.