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Finding the Fourth Proportional to 111.84, 167.89 and 71.43

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Solution

The fourth proportional to 111.84, 167.89 and 71.43 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 167.89 = 71.43 : x
  2. Step 2: Convert to fraction form
    111.84/167.89 = 71.43/x
  3. Step 3: Cross multiply
    111.84x = 167.89 × 71.43
  4. Step 4: Simplify right side
    111.84x = 11,992.38
  5. Step 5: Solve for x
    x = 11,992.38/111.84
  6. Step 6: Final answer
    x = 107.23

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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.