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Finding the Fourth Proportional to 162.87, 224.75 and 97.37

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Solution

The fourth proportional to 162.87, 224.75 and 97.37 is: 134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.87 : 224.75 = 97.37 : x
  2. Step 2: Convert to fraction form
    162.87/224.75 = 97.37/x
  3. Step 3: Cross multiply
    162.87x = 224.75 × 97.37
  4. Step 4: Simplify right side
    162.87x = 21,882.30
  5. Step 5: Solve for x
    x = 21,882.30/162.87
  6. Step 6: Final answer
    x = 134.35

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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.