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Finding the Fourth Proportional to 69.52, 104.28 and 55.78

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Solution

The fourth proportional to 69.52, 104.28 and 55.78 is: 83.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.52 : 104.28 = 55.78 : x
  2. Step 2: Convert to fraction form
    69.52/104.28 = 55.78/x
  3. Step 3: Cross multiply
    69.52x = 104.28 × 55.78
  4. Step 4: Simplify right side
    69.52x = 5,816.74
  5. Step 5: Solve for x
    x = 5,816.74/69.52
  6. Step 6: Final answer
    x = 83.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.