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Finding the Fourth Proportional to 162.45, 224.01 and 106.44

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Solution

The fourth proportional to 162.45, 224.01 and 106.44 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.45 : 224.01 = 106.44 : x
  2. Step 2: Convert to fraction form
    162.45/224.01 = 106.44/x
  3. Step 3: Cross multiply
    162.45x = 224.01 × 106.44
  4. Step 4: Simplify right side
    162.45x = 23,843.62
  5. Step 5: Solve for x
    x = 23,843.62/162.45
  6. Step 6: Final answer
    x = 146.78

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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.