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Finding the Fourth Proportional to 127.36, 189.46 and 126.04

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Solution

The fourth proportional to 127.36, 189.46 and 126.04 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.36 : 189.46 = 126.04 : x
  2. Step 2: Convert to fraction form
    127.36/189.46 = 126.04/x
  3. Step 3: Cross multiply
    127.36x = 189.46 × 126.04
  4. Step 4: Simplify right side
    127.36x = 23,879.54
  5. Step 5: Solve for x
    x = 23,879.54/127.36
  6. Step 6: Final answer
    x = 187.50

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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.