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Finding the Fourth Proportional to 94.72, 141.72 and 54.16

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Solution

The fourth proportional to 94.72, 141.72 and 54.16 is: 81.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 141.72 = 54.16 : x
  2. Step 2: Convert to fraction form
    94.72/141.72 = 54.16/x
  3. Step 3: Cross multiply
    94.72x = 141.72 × 54.16
  4. Step 4: Simplify right side
    94.72x = 7,675.56
  5. Step 5: Solve for x
    x = 7,675.56/94.72
  6. Step 6: Final answer
    x = 81.03

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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.