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Finding the Fourth Proportional to 169.71, 234.20 and 99.76

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Solution

The fourth proportional to 169.71, 234.20 and 99.76 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.71 : 234.20 = 99.76 : x
  2. Step 2: Convert to fraction form
    169.71/234.20 = 99.76/x
  3. Step 3: Cross multiply
    169.71x = 234.20 × 99.76
  4. Step 4: Simplify right side
    169.71x = 23,363.29
  5. Step 5: Solve for x
    x = 23,363.29/169.71
  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.