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Finding the Fourth Proportional to 141.90, 196 and 109.55

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Solution

The fourth proportional to 141.90, 196 and 109.55 is: 151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 196 = 109.55 : x
  2. Step 2: Convert to fraction form
    141.90/196 = 109.55/x
  3. Step 3: Cross multiply
    141.90x = 196 × 109.55
  4. Step 4: Simplify right side
    141.90x = 21,471.80
  5. Step 5: Solve for x
    x = 21,471.80/141.90
  6. Step 6: Final answer
    x = 151.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.