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Finding the Fourth Proportional to 169.77, 234.24 and 99.78

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Solution

The fourth proportional to 169.77, 234.24 and 99.78 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.77 : 234.24 = 99.78 : x
  2. Step 2: Convert to fraction form
    169.77/234.24 = 99.78/x
  3. Step 3: Cross multiply
    169.77x = 234.24 × 99.78
  4. Step 4: Simplify right side
    169.77x = 23,372.47
  5. Step 5: Solve for x
    x = 23,372.47/169.77
  6. Step 6: Final answer
    x = 137.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.