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Finding the Fourth Proportional to 141.69, 195.46 and 122.25

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Solution

The fourth proportional to 141.69, 195.46 and 122.25 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.69 : 195.46 = 122.25 : x
  2. Step 2: Convert to fraction form
    141.69/195.46 = 122.25/x
  3. Step 3: Cross multiply
    141.69x = 195.46 × 122.25
  4. Step 4: Simplify right side
    141.69x = 23,894.99
  5. Step 5: Solve for x
    x = 23,894.99/141.69
  6. Step 6: Final answer
    x = 168.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.