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Finding the Fourth Proportional to 162.27, 224.07 and 107.09

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Solution

The fourth proportional to 162.27, 224.07 and 107.09 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.27 : 224.07 = 107.09 : x
  2. Step 2: Convert to fraction form
    162.27/224.07 = 107.09/x
  3. Step 3: Cross multiply
    162.27x = 224.07 × 107.09
  4. Step 4: Simplify right side
    162.27x = 23,994.97
  5. Step 5: Solve for x
    x = 23,994.97/162.27
  6. Step 6: Final answer
    x = 147.87

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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.