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Finding the Fourth Proportional to 126.36, 189.63 and 94.38

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Solution

The fourth proportional to 126.36, 189.63 and 94.38 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 189.63 = 94.38 : x
  2. Step 2: Convert to fraction form
    126.36/189.63 = 94.38/x
  3. Step 3: Cross multiply
    126.36x = 189.63 × 94.38
  4. Step 4: Simplify right side
    126.36x = 17,897.28
  5. Step 5: Solve for x
    x = 17,897.28/126.36
  6. Step 6: Final answer
    x = 141.64

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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.