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Finding the Fourth Proportional to 83.98, 115.92 and 65.69

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Solution

The fourth proportional to 83.98, 115.92 and 65.69 is: 90.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.98 : 115.92 = 65.69 : x
  2. Step 2: Convert to fraction form
    83.98/115.92 = 65.69/x
  3. Step 3: Cross multiply
    83.98x = 115.92 × 65.69
  4. Step 4: Simplify right side
    83.98x = 7,614.21
  5. Step 5: Solve for x
    x = 7,614.21/83.98
  6. Step 6: Final answer
    x = 90.67

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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.