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Finding the Fourth Proportional to 94.14, 129.97 and 83.89

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Solution

The fourth proportional to 94.14, 129.97 and 83.89 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.14 : 129.97 = 83.89 : x
  2. Step 2: Convert to fraction form
    94.14/129.97 = 83.89/x
  3. Step 3: Cross multiply
    94.14x = 129.97 × 83.89
  4. Step 4: Simplify right side
    94.14x = 10,903.18
  5. Step 5: Solve for x
    x = 10,903.18/94.14
  6. Step 6: Final answer
    x = 115.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.