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Finding the Fourth Proportional to 131.68, 181.56 and 96.22

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Solution

The fourth proportional to 131.68, 181.56 and 96.22 is: 132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.68 : 181.56 = 96.22 : x
  2. Step 2: Convert to fraction form
    131.68/181.56 = 96.22/x
  3. Step 3: Cross multiply
    131.68x = 181.56 × 96.22
  4. Step 4: Simplify right side
    131.68x = 17,469.70
  5. Step 5: Solve for x
    x = 17,469.70/131.68
  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.