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Finding the Fourth Proportional to 140.83, 194.32 and 85.57

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Solution

The fourth proportional to 140.83, 194.32 and 85.57 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.83 : 194.32 = 85.57 : x
  2. Step 2: Convert to fraction form
    140.83/194.32 = 85.57/x
  3. Step 3: Cross multiply
    140.83x = 194.32 × 85.57
  4. Step 4: Simplify right side
    140.83x = 16,627.53
  5. Step 5: Solve for x
    x = 16,627.53/140.83
  6. Step 6: Final answer
    x = 118.07

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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.