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Finding the Fourth Proportional to 111.09, 153.31 and 83.41

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Solution

The fourth proportional to 111.09, 153.31 and 83.41 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.09 : 153.31 = 83.41 : x
  2. Step 2: Convert to fraction form
    111.09/153.31 = 83.41/x
  3. Step 3: Cross multiply
    111.09x = 153.31 × 83.41
  4. Step 4: Simplify right side
    111.09x = 12,787.03
  5. Step 5: Solve for x
    x = 12,787.03/111.09
  6. Step 6: Final answer
    x = 115.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.