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Finding the Fourth Proportional to 111.86, 167.71 and 54.12

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Solution

The fourth proportional to 111.86, 167.71 and 54.12 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 167.71 = 54.12 : x
  2. Step 2: Convert to fraction form
    111.86/167.71 = 54.12/x
  3. Step 3: Cross multiply
    111.86x = 167.71 × 54.12
  4. Step 4: Simplify right side
    111.86x = 9,076.47
  5. Step 5: Solve for x
    x = 9,076.47/111.86
  6. Step 6: Final answer
    x = 81.14

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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.