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Finding the Fourth Proportional to 162.43, 224.03 and 100.26

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Solution

The fourth proportional to 162.43, 224.03 and 100.26 is: 138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.43 : 224.03 = 100.26 : x
  2. Step 2: Convert to fraction form
    162.43/224.03 = 100.26/x
  3. Step 3: Cross multiply
    162.43x = 224.03 × 100.26
  4. Step 4: Simplify right side
    162.43x = 22,461.50
  5. Step 5: Solve for x
    x = 22,461.50/162.43
  6. Step 6: Final answer
    x = 138.29

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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.