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Finding the Fourth Proportional to 127.26, 189.81 and 119.16

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Solution

The fourth proportional to 127.26, 189.81 and 119.16 is: 177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 189.81 = 119.16 : x
  2. Step 2: Convert to fraction form
    127.26/189.81 = 119.16/x
  3. Step 3: Cross multiply
    127.26x = 189.81 × 119.16
  4. Step 4: Simplify right side
    127.26x = 22,617.76
  5. Step 5: Solve for x
    x = 22,617.76/127.26
  6. Step 6: Final answer
    x = 177.73

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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.