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Finding the Fourth Proportional to 141.98, 195.90 and 105.15

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Solution

The fourth proportional to 141.98, 195.90 and 105.15 is: 145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.98 : 195.90 = 105.15 : x
  2. Step 2: Convert to fraction form
    141.98/195.90 = 105.15/x
  3. Step 3: Cross multiply
    141.98x = 195.90 × 105.15
  4. Step 4: Simplify right side
    141.98x = 20,598.89
  5. Step 5: Solve for x
    x = 20,598.89/141.98
  6. Step 6: Final answer
    x = 145.09

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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.