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Finding the Fourth Proportional to 161.91, 223.53 and 106.74

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Solution

The fourth proportional to 161.91, 223.53 and 106.74 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 223.53 = 106.74 : x
  2. Step 2: Convert to fraction form
    161.91/223.53 = 106.74/x
  3. Step 3: Cross multiply
    161.91x = 223.53 × 106.74
  4. Step 4: Simplify right side
    161.91x = 23,858.47
  5. Step 5: Solve for x
    x = 23,858.47/161.91
  6. Step 6: Final answer
    x = 147.36

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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.