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Finding the Fourth Proportional to 127.72, 190.67 and 123.22

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Solution

The fourth proportional to 127.72, 190.67 and 123.22 is: 183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.72 : 190.67 = 123.22 : x
  2. Step 2: Convert to fraction form
    127.72/190.67 = 123.22/x
  3. Step 3: Cross multiply
    127.72x = 190.67 × 123.22
  4. Step 4: Simplify right side
    127.72x = 23,494.36
  5. Step 5: Solve for x
    x = 23,494.36/127.72
  6. Step 6: Final answer
    x = 183.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.