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Finding the Fourth Proportional to 140.13, 193.39 and 92.95

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Solution

The fourth proportional to 140.13, 193.39 and 92.95 is: 128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 193.39 = 92.95 : x
  2. Step 2: Convert to fraction form
    140.13/193.39 = 92.95/x
  3. Step 3: Cross multiply
    140.13x = 193.39 × 92.95
  4. Step 4: Simplify right side
    140.13x = 17,974.88
  5. Step 5: Solve for x
    x = 17,974.88/140.13
  6. Step 6: Final answer
    x = 128.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.