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Finding the Fourth Proportional to 140.76, 194.10 and 123.12

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Solution

The fourth proportional to 140.76, 194.10 and 123.12 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 194.10 = 123.12 : x
  2. Step 2: Convert to fraction form
    140.76/194.10 = 123.12/x
  3. Step 3: Cross multiply
    140.76x = 194.10 × 123.12
  4. Step 4: Simplify right side
    140.76x = 23,897.59
  5. Step 5: Solve for x
    x = 23,897.59/140.76
  6. Step 6: Final answer
    x = 169.78

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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.