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Finding the Fourth Proportional to 127.10, 189.41 and 119.41

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Solution

The fourth proportional to 127.10, 189.41 and 119.41 is: 177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 189.41 = 119.41 : x
  2. Step 2: Convert to fraction form
    127.10/189.41 = 119.41/x
  3. Step 3: Cross multiply
    127.10x = 189.41 × 119.41
  4. Step 4: Simplify right side
    127.10x = 22,616.38
  5. Step 5: Solve for x
    x = 22,616.38/127.10
  6. Step 6: Final answer
    x = 177.94

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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.