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Finding the Fourth Proportional to 111.57, 167.43 and 43.14

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Solution

The fourth proportional to 111.57, 167.43 and 43.14 is: 64.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 167.43 = 43.14 : x
  2. Step 2: Convert to fraction form
    111.57/167.43 = 43.14/x
  3. Step 3: Cross multiply
    111.57x = 167.43 × 43.14
  4. Step 4: Simplify right side
    111.57x = 7,222.93
  5. Step 5: Solve for x
    x = 7,222.93/111.57
  6. Step 6: Final answer
    x = 64.74

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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.