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Finding the Fourth Proportional to 162.42, 224.16 and 100.23

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Solution

The fourth proportional to 162.42, 224.16 and 100.23 is: 138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 224.16 = 100.23 : x
  2. Step 2: Convert to fraction form
    162.42/224.16 = 100.23/x
  3. Step 3: Cross multiply
    162.42x = 224.16 × 100.23
  4. Step 4: Simplify right side
    162.42x = 22,467.56
  5. Step 5: Solve for x
    x = 22,467.56/162.42
  6. Step 6: Final answer
    x = 138.33

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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.