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Finding the Fourth Proportional to 140.62, 194.00 and 113.03

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Solution

The fourth proportional to 140.62, 194.00 and 113.03 is: 155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.62 : 194.00 = 113.03 : x
  2. Step 2: Convert to fraction form
    140.62/194.00 = 113.03/x
  3. Step 3: Cross multiply
    140.62x = 194.00 × 113.03
  4. Step 4: Simplify right side
    140.62x = 21,927.01
  5. Step 5: Solve for x
    x = 21,927.01/140.62
  6. Step 6: Final answer
    x = 155.93

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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.