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Finding the Fourth Proportional to 141.14, 194.46 and 108.38

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Solution

The fourth proportional to 141.14, 194.46 and 108.38 is: 149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 194.46 = 108.38 : x
  2. Step 2: Convert to fraction form
    141.14/194.46 = 108.38/x
  3. Step 3: Cross multiply
    141.14x = 194.46 × 108.38
  4. Step 4: Simplify right side
    141.14x = 21,075.57
  5. Step 5: Solve for x
    x = 21,075.57/141.14
  6. Step 6: Final answer
    x = 149.32

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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.