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Finding the Fourth Proportional to 121.72, 167.63 and 106.17

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Solution

The fourth proportional to 121.72, 167.63 and 106.17 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.72 : 167.63 = 106.17 : x
  2. Step 2: Convert to fraction form
    121.72/167.63 = 106.17/x
  3. Step 3: Cross multiply
    121.72x = 167.63 × 106.17
  4. Step 4: Simplify right side
    121.72x = 17,797.28
  5. Step 5: Solve for x
    x = 17,797.28/121.72
  6. Step 6: Final answer
    x = 146.21

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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.