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Finding the Fourth Proportional to 105.94, 146.10 and 69.09

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Solution

The fourth proportional to 105.94, 146.10 and 69.09 is: 95.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 146.10 = 69.09 : x
  2. Step 2: Convert to fraction form
    105.94/146.10 = 69.09/x
  3. Step 3: Cross multiply
    105.94x = 146.10 × 69.09
  4. Step 4: Simplify right side
    105.94x = 10,094.05
  5. Step 5: Solve for x
    x = 10,094.05/105.94
  6. Step 6: Final answer
    x = 95.28

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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.