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Finding the Fourth Proportional to 140.59, 194.07 and 103.33

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Solution

The fourth proportional to 140.59, 194.07 and 103.33 is: 142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.59 : 194.07 = 103.33 : x
  2. Step 2: Convert to fraction form
    140.59/194.07 = 103.33/x
  3. Step 3: Cross multiply
    140.59x = 194.07 × 103.33
  4. Step 4: Simplify right side
    140.59x = 20,053.25
  5. Step 5: Solve for x
    x = 20,053.25/140.59
  6. Step 6: Final answer
    x = 142.64

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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.