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Finding the Fourth Proportional to 69.83, 105.13 and 51.94

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Solution

The fourth proportional to 69.83, 105.13 and 51.94 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.83 : 105.13 = 51.94 : x
  2. Step 2: Convert to fraction form
    69.83/105.13 = 51.94/x
  3. Step 3: Cross multiply
    69.83x = 105.13 × 51.94
  4. Step 4: Simplify right side
    69.83x = 5,460.45
  5. Step 5: Solve for x
    x = 5,460.45/69.83
  6. Step 6: Final answer
    x = 78.20

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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.