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Finding the Fourth Proportional to 69.90, 105.23 and 51.98

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Solution

The fourth proportional to 69.90, 105.23 and 51.98 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.90 : 105.23 = 51.98 : x
  2. Step 2: Convert to fraction form
    69.90/105.23 = 51.98/x
  3. Step 3: Cross multiply
    69.90x = 105.23 × 51.98
  4. Step 4: Simplify right side
    69.90x = 5,469.86
  5. Step 5: Solve for x
    x = 5,469.86/69.90
  6. Step 6: Final answer
    x = 78.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.