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Finding the Fourth Proportional to 121.42, 167.69 and 105.80

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Solution

The fourth proportional to 121.42, 167.69 and 105.80 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 167.69 = 105.80 : x
  2. Step 2: Convert to fraction form
    121.42/167.69 = 105.80/x
  3. Step 3: Cross multiply
    121.42x = 167.69 × 105.80
  4. Step 4: Simplify right side
    121.42x = 17,741.07
  5. Step 5: Solve for x
    x = 17,741.07/121.42
  6. Step 6: Final answer
    x = 146.12

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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.