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Finding the Fourth Proportional to 127.30, 190.13 and 107.82

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Solution

The fourth proportional to 127.30, 190.13 and 107.82 is: 161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.30 : 190.13 = 107.82 : x
  2. Step 2: Convert to fraction form
    127.30/190.13 = 107.82/x
  3. Step 3: Cross multiply
    127.30x = 190.13 × 107.82
  4. Step 4: Simplify right side
    127.30x = 20,499.82
  5. Step 5: Solve for x
    x = 20,499.82/127.30
  6. Step 6: Final answer
    x = 161.04

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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.