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Finding the Fourth Proportional to 140.05, 193.24 and 84.06

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Solution

The fourth proportional to 140.05, 193.24 and 84.06 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.05 : 193.24 = 84.06 : x
  2. Step 2: Convert to fraction form
    140.05/193.24 = 84.06/x
  3. Step 3: Cross multiply
    140.05x = 193.24 × 84.06
  4. Step 4: Simplify right side
    140.05x = 16,243.75
  5. Step 5: Solve for x
    x = 16,243.75/140.05
  6. Step 6: Final answer
    x = 115.99

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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.