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Finding the Fourth Proportional to 161.37, 222.77 and 102.42

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Solution

The fourth proportional to 161.37, 222.77 and 102.42 is: 141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.37 : 222.77 = 102.42 : x
  2. Step 2: Convert to fraction form
    161.37/222.77 = 102.42/x
  3. Step 3: Cross multiply
    161.37x = 222.77 × 102.42
  4. Step 4: Simplify right side
    161.37x = 22,815.14
  5. Step 5: Solve for x
    x = 22,815.14/161.37
  6. Step 6: Final answer
    x = 141.39

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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.