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Finding the Fourth Proportional to 110.25, 166.23 and 105.93

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Solution

The fourth proportional to 110.25, 166.23 and 105.93 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 166.23 = 105.93 : x
  2. Step 2: Convert to fraction form
    110.25/166.23 = 105.93/x
  3. Step 3: Cross multiply
    110.25x = 166.23 × 105.93
  4. Step 4: Simplify right side
    110.25x = 17,608.74
  5. Step 5: Solve for x
    x = 17,608.74/110.25
  6. Step 6: Final answer
    x = 159.72

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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.