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Finding the Fourth Proportional to 94.23, 141.86 and 83.05

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Solution

The fourth proportional to 94.23, 141.86 and 83.05 is: 125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.23 : 141.86 = 83.05 : x
  2. Step 2: Convert to fraction form
    94.23/141.86 = 83.05/x
  3. Step 3: Cross multiply
    94.23x = 141.86 × 83.05
  4. Step 4: Simplify right side
    94.23x = 11,781.33
  5. Step 5: Solve for x
    x = 11,781.33/94.23
  6. Step 6: Final answer
    x = 125.03

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Why These Related Problems?

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