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Finding the Fourth Proportional to 141.90, 195.92 and 97.72

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Solution

The fourth proportional to 141.90, 195.92 and 97.72 is: 134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 195.92 = 97.72 : x
  2. Step 2: Convert to fraction form
    141.90/195.92 = 97.72/x
  3. Step 3: Cross multiply
    141.90x = 195.92 × 97.72
  4. Step 4: Simplify right side
    141.90x = 19,145.30
  5. Step 5: Solve for x
    x = 19,145.30/141.90
  6. Step 6: Final answer
    x = 134.92

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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.