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Finding the Fourth Proportional to 83.05, 114.60 and 66.67

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Solution

The fourth proportional to 83.05, 114.60 and 66.67 is: 92.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 114.60 = 66.67 : x
  2. Step 2: Convert to fraction form
    83.05/114.60 = 66.67/x
  3. Step 3: Cross multiply
    83.05x = 114.60 × 66.67
  4. Step 4: Simplify right side
    83.05x = 7,640.38
  5. Step 5: Solve for x
    x = 7,640.38/83.05
  6. Step 6: Final answer
    x = 92.00

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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.