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Finding the Fourth Proportional to 141.89, 195.74 and 105.12

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Solution

The fourth proportional to 141.89, 195.74 and 105.12 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.89 : 195.74 = 105.12 : x
  2. Step 2: Convert to fraction form
    141.89/195.74 = 105.12/x
  3. Step 3: Cross multiply
    141.89x = 195.74 × 105.12
  4. Step 4: Simplify right side
    141.89x = 20,575.66
  5. Step 5: Solve for x
    x = 20,575.66/141.89
  6. Step 6: Final answer
    x = 145.02

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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.