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Finding the Fourth Proportional to 141.49, 195.26 and 78.47

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Solution

The fourth proportional to 141.49, 195.26 and 78.47 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.49 : 195.26 = 78.47 : x
  2. Step 2: Convert to fraction form
    141.49/195.26 = 78.47/x
  3. Step 3: Cross multiply
    141.49x = 195.26 × 78.47
  4. Step 4: Simplify right side
    141.49x = 15,322.05
  5. Step 5: Solve for x
    x = 15,322.05/141.49
  6. Step 6: Final answer
    x = 108.29

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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.