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Finding the Fourth Proportional to 83.94, 116.30 and 82.77

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Solution

The fourth proportional to 83.94, 116.30 and 82.77 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.94 : 116.30 = 82.77 : x
  2. Step 2: Convert to fraction form
    83.94/116.30 = 82.77/x
  3. Step 3: Cross multiply
    83.94x = 116.30 × 82.77
  4. Step 4: Simplify right side
    83.94x = 9,625.74
  5. Step 5: Solve for x
    x = 9,625.74/83.94
  6. Step 6: Final answer
    x = 114.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.