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Finding the Fourth Proportional to 117.34, 161.89 and 82.31

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Solution

The fourth proportional to 117.34, 161.89 and 82.31 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.34 : 161.89 = 82.31 : x
  2. Step 2: Convert to fraction form
    117.34/161.89 = 82.31/x
  3. Step 3: Cross multiply
    117.34x = 161.89 × 82.31
  4. Step 4: Simplify right side
    117.34x = 13,324.15
  5. Step 5: Solve for x
    x = 13,324.15/117.34
  6. Step 6: Final answer
    x = 113.55

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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.