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Finding the Fourth Proportional to 69.44, 103.74 and 57.84

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Solution

The fourth proportional to 69.44, 103.74 and 57.84 is: 86.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.44 : 103.74 = 57.84 : x
  2. Step 2: Convert to fraction form
    69.44/103.74 = 57.84/x
  3. Step 3: Cross multiply
    69.44x = 103.74 × 57.84
  4. Step 4: Simplify right side
    69.44x = 6,000.32
  5. Step 5: Solve for x
    x = 6,000.32/69.44
  6. Step 6: Final answer
    x = 86.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.