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Finding the Fourth Proportional to 127.44, 189.86 and 123.09

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Solution

The fourth proportional to 127.44, 189.86 and 123.09 is: 183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 189.86 = 123.09 : x
  2. Step 2: Convert to fraction form
    127.44/189.86 = 123.09/x
  3. Step 3: Cross multiply
    127.44x = 189.86 × 123.09
  4. Step 4: Simplify right side
    127.44x = 23,370.18
  5. Step 5: Solve for x
    x = 23,370.18/127.44
  6. Step 6: Final answer
    x = 183.38

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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.