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Finding the Fourth Proportional to 162.31, 224 and 96.82

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Solution

The fourth proportional to 162.31, 224 and 96.82 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.31 : 224 = 96.82 : x
  2. Step 2: Convert to fraction form
    162.31/224 = 96.82/x
  3. Step 3: Cross multiply
    162.31x = 224 × 96.82
  4. Step 4: Simplify right side
    162.31x = 21,687.68
  5. Step 5: Solve for x
    x = 21,687.68/162.31
  6. Step 6: Final answer
    x = 133.62

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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.