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Finding the Fourth Proportional to 94.96, 142.43 and 30.83

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Solution

The fourth proportional to 94.96, 142.43 and 30.83 is: 46.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.96 : 142.43 = 30.83 : x
  2. Step 2: Convert to fraction form
    94.96/142.43 = 30.83/x
  3. Step 3: Cross multiply
    94.96x = 142.43 × 30.83
  4. Step 4: Simplify right side
    94.96x = 4,391.12
  5. Step 5: Solve for x
    x = 4,391.12/94.96
  6. Step 6: Final answer
    x = 46.24

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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.