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Finding the Fourth Proportional to 127.14, 190.77 and 109.14

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Solution

The fourth proportional to 127.14, 190.77 and 109.14 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 190.77 = 109.14 : x
  2. Step 2: Convert to fraction form
    127.14/190.77 = 109.14/x
  3. Step 3: Cross multiply
    127.14x = 190.77 × 109.14
  4. Step 4: Simplify right side
    127.14x = 20,820.64
  5. Step 5: Solve for x
    x = 20,820.64/127.14
  6. Step 6: Final answer
    x = 163.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.