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Finding the Fourth Proportional to 162.32, 224.05 and 96.82

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Solution

The fourth proportional to 162.32, 224.05 and 96.82 is: 133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.32 : 224.05 = 96.82 : x
  2. Step 2: Convert to fraction form
    162.32/224.05 = 96.82/x
  3. Step 3: Cross multiply
    162.32x = 224.05 × 96.82
  4. Step 4: Simplify right side
    162.32x = 21,692.94
  5. Step 5: Solve for x
    x = 21,692.94/162.32
  6. Step 6: Final answer
    x = 133.65

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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.