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Finding the Fourth Proportional to 121.19, 166.73 and 105.59

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Solution

The fourth proportional to 121.19, 166.73 and 105.59 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.19 : 166.73 = 105.59 : x
  2. Step 2: Convert to fraction form
    121.19/166.73 = 105.59/x
  3. Step 3: Cross multiply
    121.19x = 166.73 × 105.59
  4. Step 4: Simplify right side
    121.19x = 17,603.66
  5. Step 5: Solve for x
    x = 17,603.66/121.19
  6. Step 6: Final answer
    x = 145.26

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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.