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Finding the Fourth Proportional to 161.46, 222.76 and 99.24

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Solution

The fourth proportional to 161.46, 222.76 and 99.24 is: 136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 222.76 = 99.24 : x
  2. Step 2: Convert to fraction form
    161.46/222.76 = 99.24/x
  3. Step 3: Cross multiply
    161.46x = 222.76 × 99.24
  4. Step 4: Simplify right side
    161.46x = 22,106.70
  5. Step 5: Solve for x
    x = 22,106.70/161.46
  6. Step 6: Final answer
    x = 136.92

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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.