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Finding the Fourth Proportional to 111.72, 167.64 and 43.29

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Solution

The fourth proportional to 111.72, 167.64 and 43.29 is: 64.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 167.64 = 43.29 : x
  2. Step 2: Convert to fraction form
    111.72/167.64 = 43.29/x
  3. Step 3: Cross multiply
    111.72x = 167.64 × 43.29
  4. Step 4: Simplify right side
    111.72x = 7,257.14
  5. Step 5: Solve for x
    x = 7,257.14/111.72
  6. Step 6: Final answer
    x = 64.96

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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.