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Finding the Fourth Proportional to 121.69, 167.89 and 84.34

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Solution

The fourth proportional to 121.69, 167.89 and 84.34 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.69 : 167.89 = 84.34 : x
  2. Step 2: Convert to fraction form
    121.69/167.89 = 84.34/x
  3. Step 3: Cross multiply
    121.69x = 167.89 × 84.34
  4. Step 4: Simplify right side
    121.69x = 14,160.00
  5. Step 5: Solve for x
    x = 14,160.00/121.69
  6. Step 6: Final answer
    x = 116.37

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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.