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Finding the Fourth Proportional to 161.78, 223.16 and 103.50

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Solution

The fourth proportional to 161.78, 223.16 and 103.50 is: 142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 223.16 = 103.50 : x
  2. Step 2: Convert to fraction form
    161.78/223.16 = 103.50/x
  3. Step 3: Cross multiply
    161.78x = 223.16 × 103.50
  4. Step 4: Simplify right side
    161.78x = 23,096.54
  5. Step 5: Solve for x
    x = 23,096.54/161.78
  6. Step 6: Final answer
    x = 142.77

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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.