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Finding the Fourth Proportional to 162.41, 224.16 and 96.95

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Solution

The fourth proportional to 162.41, 224.16 and 96.95 is: 133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.41 : 224.16 = 96.95 : x
  2. Step 2: Convert to fraction form
    162.41/224.16 = 96.95/x
  3. Step 3: Cross multiply
    162.41x = 224.16 × 96.95
  4. Step 4: Simplify right side
    162.41x = 21,732.87
  5. Step 5: Solve for x
    x = 21,732.87/162.41
  6. Step 6: Final answer
    x = 133.81

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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.