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Finding the Fourth Proportional to 161.29, 222.51 and 105.94

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Solution

The fourth proportional to 161.29, 222.51 and 105.94 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.29 : 222.51 = 105.94 : x
  2. Step 2: Convert to fraction form
    161.29/222.51 = 105.94/x
  3. Step 3: Cross multiply
    161.29x = 222.51 × 105.94
  4. Step 4: Simplify right side
    161.29x = 23,572.71
  5. Step 5: Solve for x
    x = 23,572.71/161.29
  6. Step 6: Final answer
    x = 146.15

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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.