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Finding the Fourth Proportional to 141.85, 195.83 and 106.84

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Solution

The fourth proportional to 141.85, 195.83 and 106.84 is: 147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.85 : 195.83 = 106.84 : x
  2. Step 2: Convert to fraction form
    141.85/195.83 = 106.84/x
  3. Step 3: Cross multiply
    141.85x = 195.83 × 106.84
  4. Step 4: Simplify right side
    141.85x = 20,922.48
  5. Step 5: Solve for x
    x = 20,922.48/141.85
  6. Step 6: Final answer
    x = 147.50

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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.