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Finding the Fourth Proportional to 141.02, 194.57 and 85.78

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Solution

The fourth proportional to 141.02, 194.57 and 85.78 is: 118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.02 : 194.57 = 85.78 : x
  2. Step 2: Convert to fraction form
    141.02/194.57 = 85.78/x
  3. Step 3: Cross multiply
    141.02x = 194.57 × 85.78
  4. Step 4: Simplify right side
    141.02x = 16,690.35
  5. Step 5: Solve for x
    x = 16,690.35/141.02
  6. Step 6: Final answer
    x = 118.36

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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.