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Finding the Fourth Proportional to 69.45, 95.85 and 40.34

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Solution

The fourth proportional to 69.45, 95.85 and 40.34 is: 55.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.45 : 95.85 = 40.34 : x
  2. Step 2: Convert to fraction form
    69.45/95.85 = 40.34/x
  3. Step 3: Cross multiply
    69.45x = 95.85 × 40.34
  4. Step 4: Simplify right side
    69.45x = 3,866.59
  5. Step 5: Solve for x
    x = 3,866.59/69.45
  6. Step 6: Final answer
    x = 55.67

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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.