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Finding the Fourth Proportional to 141.60, 195.42 and 83.40

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Solution

The fourth proportional to 141.60, 195.42 and 83.40 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 195.42 = 83.40 : x
  2. Step 2: Convert to fraction form
    141.60/195.42 = 83.40/x
  3. Step 3: Cross multiply
    141.60x = 195.42 × 83.40
  4. Step 4: Simplify right side
    141.60x = 16,298.03
  5. Step 5: Solve for x
    x = 16,298.03/141.60
  6. Step 6: Final answer
    x = 115.10

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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.