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Finding the Fourth Proportional to 161.99, 223.52 and 96.50

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Solution

The fourth proportional to 161.99, 223.52 and 96.50 is: 133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 223.52 = 96.50 : x
  2. Step 2: Convert to fraction form
    161.99/223.52 = 96.50/x
  3. Step 3: Cross multiply
    161.99x = 223.52 × 96.50
  4. Step 4: Simplify right side
    161.99x = 21,568.08
  5. Step 5: Solve for x
    x = 21,568.08/161.99
  6. Step 6: Final answer
    x = 133.15

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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.