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Finding the Fourth Proportional to 94.72, 142.02 and 54.13

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Solution

The fourth proportional to 94.72, 142.02 and 54.13 is: 81.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 142.02 = 54.13 : x
  2. Step 2: Convert to fraction form
    94.72/142.02 = 54.13/x
  3. Step 3: Cross multiply
    94.72x = 142.02 × 54.13
  4. Step 4: Simplify right side
    94.72x = 7,687.54
  5. Step 5: Solve for x
    x = 7,687.54/94.72
  6. Step 6: Final answer
    x = 81.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.