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Finding the Fourth Proportional to 162.39, 224.07 and 100.24

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Solution

The fourth proportional to 162.39, 224.07 and 100.24 is: 138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.39 : 224.07 = 100.24 : x
  2. Step 2: Convert to fraction form
    162.39/224.07 = 100.24/x
  3. Step 3: Cross multiply
    162.39x = 224.07 × 100.24
  4. Step 4: Simplify right side
    162.39x = 22,460.78
  5. Step 5: Solve for x
    x = 22,460.78/162.39
  6. Step 6: Final answer
    x = 138.31

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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.