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Finding the Fourth Proportional to 161.75, 223.24 and 90.86

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Solution

The fourth proportional to 161.75, 223.24 and 90.86 is: 125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.75 : 223.24 = 90.86 : x
  2. Step 2: Convert to fraction form
    161.75/223.24 = 90.86/x
  3. Step 3: Cross multiply
    161.75x = 223.24 × 90.86
  4. Step 4: Simplify right side
    161.75x = 20,283.59
  5. Step 5: Solve for x
    x = 20,283.59/161.75
  6. Step 6: Final answer
    x = 125.40

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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.