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Finding the Fourth Proportional to 121.84, 183.53 and 111.07

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Solution

The fourth proportional to 121.84, 183.53 and 111.07 is: 167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.84 : 183.53 = 111.07 : x
  2. Step 2: Convert to fraction form
    121.84/183.53 = 111.07/x
  3. Step 3: Cross multiply
    121.84x = 183.53 × 111.07
  4. Step 4: Simplify right side
    121.84x = 20,384.58
  5. Step 5: Solve for x
    x = 20,384.58/121.84
  6. Step 6: Final answer
    x = 167.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.