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Finding the Fourth Proportional to 161.21, 222.46 and 99.04

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Solution

The fourth proportional to 161.21, 222.46 and 99.04 is: 136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 222.46 = 99.04 : x
  2. Step 2: Convert to fraction form
    161.21/222.46 = 99.04/x
  3. Step 3: Cross multiply
    161.21x = 222.46 × 99.04
  4. Step 4: Simplify right side
    161.21x = 22,031.94
  5. Step 5: Solve for x
    x = 22,031.94/161.21
  6. Step 6: Final answer
    x = 136.67

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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.