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Finding the Fourth Proportional to 141.61, 195.36 and 86.30

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Solution

The fourth proportional to 141.61, 195.36 and 86.30 is: 119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.61 : 195.36 = 86.30 : x
  2. Step 2: Convert to fraction form
    141.61/195.36 = 86.30/x
  3. Step 3: Cross multiply
    141.61x = 195.36 × 86.30
  4. Step 4: Simplify right side
    141.61x = 16,859.57
  5. Step 5: Solve for x
    x = 16,859.57/141.61
  6. Step 6: Final answer
    x = 119.06

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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.