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Finding the Fourth Proportional to 161.69, 223.07 and 102.65

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Solution

The fourth proportional to 161.69, 223.07 and 102.65 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.69 : 223.07 = 102.65 : x
  2. Step 2: Convert to fraction form
    161.69/223.07 = 102.65/x
  3. Step 3: Cross multiply
    161.69x = 223.07 × 102.65
  4. Step 4: Simplify right side
    161.69x = 22,896.51
  5. Step 5: Solve for x
    x = 22,896.51/161.69
  6. Step 6: Final answer
    x = 141.61

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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.