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Finding the Fourth Proportional to 161.46, 222.66 and 105.35

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Solution

The fourth proportional to 161.46, 222.66 and 105.35 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 222.66 = 105.35 : x
  2. Step 2: Convert to fraction form
    161.46/222.66 = 105.35/x
  3. Step 3: Cross multiply
    161.46x = 222.66 × 105.35
  4. Step 4: Simplify right side
    161.46x = 23,456.12
  5. Step 5: Solve for x
    x = 23,456.12/161.46
  6. Step 6: Final answer
    x = 145.28

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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.