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Finding the Fourth Proportional to 105.75, 145.88 and 66.94

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Solution

The fourth proportional to 105.75, 145.88 and 66.94 is: 92.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 145.88 = 66.94 : x
  2. Step 2: Convert to fraction form
    105.75/145.88 = 66.94/x
  3. Step 3: Cross multiply
    105.75x = 145.88 × 66.94
  4. Step 4: Simplify right side
    105.75x = 9,764.87
  5. Step 5: Solve for x
    x = 9,764.87/105.75
  6. Step 6: Final answer
    x = 92.34

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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.