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Finding the Fourth Proportional to 162.14, 223.71 and 96.62

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Solution

The fourth proportional to 162.14, 223.71 and 96.62 is: 133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 223.71 = 96.62 : x
  2. Step 2: Convert to fraction form
    162.14/223.71 = 96.62/x
  3. Step 3: Cross multiply
    162.14x = 223.71 × 96.62
  4. Step 4: Simplify right side
    162.14x = 21,614.86
  5. Step 5: Solve for x
    x = 21,614.86/162.14
  6. Step 6: Final answer
    x = 133.31

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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.