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Finding the Fourth Proportional to 140.55, 193.94 and 85.29

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Solution

The fourth proportional to 140.55, 193.94 and 85.29 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.55 : 193.94 = 85.29 : x
  2. Step 2: Convert to fraction form
    140.55/193.94 = 85.29/x
  3. Step 3: Cross multiply
    140.55x = 193.94 × 85.29
  4. Step 4: Simplify right side
    140.55x = 16,540.72
  5. Step 5: Solve for x
    x = 16,540.72/140.55
  6. Step 6: Final answer
    x = 117.69

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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.