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Finding the Fourth Proportional to 141.80, 195.64 and 98.36

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Solution

The fourth proportional to 141.80, 195.64 and 98.36 is: 135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 195.64 = 98.36 : x
  2. Step 2: Convert to fraction form
    141.80/195.64 = 98.36/x
  3. Step 3: Cross multiply
    141.80x = 195.64 × 98.36
  4. Step 4: Simplify right side
    141.80x = 19,243.15
  5. Step 5: Solve for x
    x = 19,243.15/141.80
  6. Step 6: Final answer
    x = 135.71

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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.