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Finding the Fourth Proportional to 161.50, 222.84 and 99.31

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Solution

The fourth proportional to 161.50, 222.84 and 99.31 is: 137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.50 : 222.84 = 99.31 : x
  2. Step 2: Convert to fraction form
    161.50/222.84 = 99.31/x
  3. Step 3: Cross multiply
    161.50x = 222.84 × 99.31
  4. Step 4: Simplify right side
    161.50x = 22,131.05
  5. Step 5: Solve for x
    x = 22,131.05/161.50
  6. Step 6: Final answer
    x = 137.03

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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.