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Finding the Fourth Proportional to 141.95, 195.89 and 105.13

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Solution

The fourth proportional to 141.95, 195.89 and 105.13 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.95 : 195.89 = 105.13 : x
  2. Step 2: Convert to fraction form
    141.95/195.89 = 105.13/x
  3. Step 3: Cross multiply
    141.95x = 195.89 × 105.13
  4. Step 4: Simplify right side
    141.95x = 20,593.63
  5. Step 5: Solve for x
    x = 20,593.63/141.95
  6. Step 6: Final answer
    x = 145.07

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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.