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Finding the Fourth Proportional to 169.81, 234.34 and 96.14

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Solution

The fourth proportional to 169.81, 234.34 and 96.14 is: 132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.81 : 234.34 = 96.14 : x
  2. Step 2: Convert to fraction form
    169.81/234.34 = 96.14/x
  3. Step 3: Cross multiply
    169.81x = 234.34 × 96.14
  4. Step 4: Simplify right side
    169.81x = 22,528.47
  5. Step 5: Solve for x
    x = 22,528.47/169.81
  6. Step 6: Final answer
    x = 132.67

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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.