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Finding the Fourth Proportional to 121.56, 167.34 and 105.08

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Solution

The fourth proportional to 121.56, 167.34 and 105.08 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.56 : 167.34 = 105.08 : x
  2. Step 2: Convert to fraction form
    121.56/167.34 = 105.08/x
  3. Step 3: Cross multiply
    121.56x = 167.34 × 105.08
  4. Step 4: Simplify right side
    121.56x = 17,584.09
  5. Step 5: Solve for x
    x = 17,584.09/121.56
  6. Step 6: Final answer
    x = 144.65

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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.