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Finding the Fourth Proportional to 126.22, 188.24 and 111.76

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Solution

The fourth proportional to 126.22, 188.24 and 111.76 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.22 : 188.24 = 111.76 : x
  2. Step 2: Convert to fraction form
    126.22/188.24 = 111.76/x
  3. Step 3: Cross multiply
    126.22x = 188.24 × 111.76
  4. Step 4: Simplify right side
    126.22x = 21,037.70
  5. Step 5: Solve for x
    x = 21,037.70/126.22
  6. Step 6: Final answer
    x = 166.67

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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.