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Finding the Fourth Proportional to 94.23, 142.02 and 76.41

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Solution

The fourth proportional to 94.23, 142.02 and 76.41 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.23 : 142.02 = 76.41 : x
  2. Step 2: Convert to fraction form
    94.23/142.02 = 76.41/x
  3. Step 3: Cross multiply
    94.23x = 142.02 × 76.41
  4. Step 4: Simplify right side
    94.23x = 10,851.75
  5. Step 5: Solve for x
    x = 10,851.75/94.23
  6. Step 6: Final answer
    x = 115.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.