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Finding the Fourth Proportional to 111.33, 167.41 and 102.42

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Solution

The fourth proportional to 111.33, 167.41 and 102.42 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 167.41 = 102.42 : x
  2. Step 2: Convert to fraction form
    111.33/167.41 = 102.42/x
  3. Step 3: Cross multiply
    111.33x = 167.41 × 102.42
  4. Step 4: Simplify right side
    111.33x = 17,146.04
  5. Step 5: Solve for x
    x = 17,146.04/111.33
  6. Step 6: Final answer
    x = 154.01

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