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Finding the Fourth Proportional to 140.13, 193.19 and 116.82

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Solution

The fourth proportional to 140.13, 193.19 and 116.82 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 193.19 = 116.82 : x
  2. Step 2: Convert to fraction form
    140.13/193.19 = 116.82/x
  3. Step 3: Cross multiply
    140.13x = 193.19 × 116.82
  4. Step 4: Simplify right side
    140.13x = 22,567.87
  5. Step 5: Solve for x
    x = 22,567.87/140.13
  6. Step 6: Final answer
    x = 161.05

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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.