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Finding the Fourth Proportional to 105.80, 145.91 and 66.92

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Solution

The fourth proportional to 105.80, 145.91 and 66.92 is: 92.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 145.91 = 66.92 : x
  2. Step 2: Convert to fraction form
    105.80/145.91 = 66.92/x
  3. Step 3: Cross multiply
    105.80x = 145.91 × 66.92
  4. Step 4: Simplify right side
    105.80x = 9,763.73
  5. Step 5: Solve for x
    x = 9,763.73/105.80
  6. Step 6: Final answer
    x = 92.29

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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.