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Finding the Fourth Proportional to 121.42, 167.64 and 109.12

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Solution

The fourth proportional to 121.42, 167.64 and 109.12 is: 150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 167.64 = 109.12 : x
  2. Step 2: Convert to fraction form
    121.42/167.64 = 109.12/x
  3. Step 3: Cross multiply
    121.42x = 167.64 × 109.12
  4. Step 4: Simplify right side
    121.42x = 18,292.88
  5. Step 5: Solve for x
    x = 18,292.88/121.42
  6. Step 6: Final answer
    x = 150.66

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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.