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Finding the Fourth Proportional to 94.72, 141.41 and 85.06

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Solution

The fourth proportional to 94.72, 141.41 and 85.06 is: 126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 141.41 = 85.06 : x
  2. Step 2: Convert to fraction form
    94.72/141.41 = 85.06/x
  3. Step 3: Cross multiply
    94.72x = 141.41 × 85.06
  4. Step 4: Simplify right side
    94.72x = 12,028.33
  5. Step 5: Solve for x
    x = 12,028.33/94.72
  6. Step 6: Final answer
    x = 126.99

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