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Finding the Fourth Proportional to 141.44, 195.20 and 97.82

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Solution

The fourth proportional to 141.44, 195.20 and 97.82 is: 135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.44 : 195.20 = 97.82 : x
  2. Step 2: Convert to fraction form
    141.44/195.20 = 97.82/x
  3. Step 3: Cross multiply
    141.44x = 195.20 × 97.82
  4. Step 4: Simplify right side
    141.44x = 19,094.46
  5. Step 5: Solve for x
    x = 19,094.46/141.44
  6. Step 6: Final answer
    x = 135.00

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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.