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Finding the Fourth Proportional to 127.67, 190.37 and 113.99

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Solution

The fourth proportional to 127.67, 190.37 and 113.99 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.67 : 190.37 = 113.99 : x
  2. Step 2: Convert to fraction form
    127.67/190.37 = 113.99/x
  3. Step 3: Cross multiply
    127.67x = 190.37 × 113.99
  4. Step 4: Simplify right side
    127.67x = 21,698.75
  5. Step 5: Solve for x
    x = 21,698.75/127.67
  6. Step 6: Final answer
    x = 169.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.