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Finding the Fourth Proportional to 161.18, 221.95 and 114.48

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Solution

The fourth proportional to 161.18, 221.95 and 114.48 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.18 : 221.95 = 114.48 : x
  2. Step 2: Convert to fraction form
    161.18/221.95 = 114.48/x
  3. Step 3: Cross multiply
    161.18x = 221.95 × 114.48
  4. Step 4: Simplify right side
    161.18x = 25,407.48
  5. Step 5: Solve for x
    x = 25,407.48/161.18
  6. Step 6: Final answer
    x = 157.63

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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.