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Finding the Fourth Proportional to 142.09, 195.90 and 105.25

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Solution

The fourth proportional to 142.09, 195.90 and 105.25 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.09 : 195.90 = 105.25 : x
  2. Step 2: Convert to fraction form
    142.09/195.90 = 105.25/x
  3. Step 3: Cross multiply
    142.09x = 195.90 × 105.25
  4. Step 4: Simplify right side
    142.09x = 20,618.48
  5. Step 5: Solve for x
    x = 20,618.48/142.09
  6. Step 6: Final answer
    x = 145.11

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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.