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Finding the Fourth Proportional to 142.44, 213.39 and 94.56

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Solution

The fourth proportional to 142.44, 213.39 and 94.56 is: 141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.44 : 213.39 = 94.56 : x
  2. Step 2: Convert to fraction form
    142.44/213.39 = 94.56/x
  3. Step 3: Cross multiply
    142.44x = 213.39 × 94.56
  4. Step 4: Simplify right side
    142.44x = 20,178.16
  5. Step 5: Solve for x
    x = 20,178.16/142.44
  6. Step 6: Final answer
    x = 141.66

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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.