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Finding the Fourth Proportional to 162.36, 224.08 and 96.92

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Solution

The fourth proportional to 162.36, 224.08 and 96.92 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.36 : 224.08 = 96.92 : x
  2. Step 2: Convert to fraction form
    162.36/224.08 = 96.92/x
  3. Step 3: Cross multiply
    162.36x = 224.08 × 96.92
  4. Step 4: Simplify right side
    162.36x = 21,717.83
  5. Step 5: Solve for x
    x = 21,717.83/162.36
  6. Step 6: Final answer
    x = 133.76

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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.