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Finding the Fourth Proportional to 162.52, 224.21 and 100.33

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Solution

The fourth proportional to 162.52, 224.21 and 100.33 is: 138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.52 : 224.21 = 100.33 : x
  2. Step 2: Convert to fraction form
    162.52/224.21 = 100.33/x
  3. Step 3: Cross multiply
    162.52x = 224.21 × 100.33
  4. Step 4: Simplify right side
    162.52x = 22,494.68
  5. Step 5: Solve for x
    x = 22,494.68/162.52
  6. Step 6: Final answer
    x = 138.41

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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.