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Finding the Fourth Proportional to 162.56, 224.31 and 97.09

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Solution

The fourth proportional to 162.56, 224.31 and 97.09 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 224.31 = 97.09 : x
  2. Step 2: Convert to fraction form
    162.56/224.31 = 97.09/x
  3. Step 3: Cross multiply
    162.56x = 224.31 × 97.09
  4. Step 4: Simplify right side
    162.56x = 21,778.26
  5. Step 5: Solve for x
    x = 21,778.26/162.56
  6. Step 6: Final answer
    x = 133.97

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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.