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Finding the Fourth Proportional to 161.96, 223.46 and 117.77

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Solution

The fourth proportional to 161.96, 223.46 and 117.77 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 223.46 = 117.77 : x
  2. Step 2: Convert to fraction form
    161.96/223.46 = 117.77/x
  3. Step 3: Cross multiply
    161.96x = 223.46 × 117.77
  4. Step 4: Simplify right side
    161.96x = 26,316.06
  5. Step 5: Solve for x
    x = 26,316.06/161.96
  6. Step 6: Final answer
    x = 162.48

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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.