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Finding the Fourth Proportional to 140.80, 194.20 and 89

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Solution

The fourth proportional to 140.80, 194.20 and 89 is: 122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 194.20 = 89 : x
  2. Step 2: Convert to fraction form
    140.80/194.20 = 89/x
  3. Step 3: Cross multiply
    140.80x = 194.20 × 89
  4. Step 4: Simplify right side
    140.80x = 17,283.80
  5. Step 5: Solve for x
    x = 17,283.80/140.80
  6. Step 6: Final answer
    x = 122.75

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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.