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Finding the Fourth Proportional to 162.75, 224.50 and 97.25

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Solution

The fourth proportional to 162.75, 224.50 and 97.25 is: 134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.75 : 224.50 = 97.25 : x
  2. Step 2: Convert to fraction form
    162.75/224.50 = 97.25/x
  3. Step 3: Cross multiply
    162.75x = 224.50 × 97.25
  4. Step 4: Simplify right side
    162.75x = 21,832.63
  5. Step 5: Solve for x
    x = 21,832.63/162.75
  6. Step 6: Final answer
    x = 134.15

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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.