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Finding the Fourth Proportional to 127.23, 190.73 and 55.14

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Solution

The fourth proportional to 127.23, 190.73 and 55.14 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.23 : 190.73 = 55.14 : x
  2. Step 2: Convert to fraction form
    127.23/190.73 = 55.14/x
  3. Step 3: Cross multiply
    127.23x = 190.73 × 55.14
  4. Step 4: Simplify right side
    127.23x = 10,516.58
  5. Step 5: Solve for x
    x = 10,516.58/127.23
  6. Step 6: Final answer
    x = 82.66

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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.