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Finding the Fourth Proportional to 121.90, 183.06 and 108.22

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Solution

The fourth proportional to 121.90, 183.06 and 108.22 is: 162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.90 : 183.06 = 108.22 : x
  2. Step 2: Convert to fraction form
    121.90/183.06 = 108.22/x
  3. Step 3: Cross multiply
    121.90x = 183.06 × 108.22
  4. Step 4: Simplify right side
    121.90x = 19,810.75
  5. Step 5: Solve for x
    x = 19,810.75/121.90
  6. Step 6: Final answer
    x = 162.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.