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Finding the Fourth Proportional to 111.84, 167.94 and 109.32

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Solution

The fourth proportional to 111.84, 167.94 and 109.32 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 167.94 = 109.32 : x
  2. Step 2: Convert to fraction form
    111.84/167.94 = 109.32/x
  3. Step 3: Cross multiply
    111.84x = 167.94 × 109.32
  4. Step 4: Simplify right side
    111.84x = 18,359.20
  5. Step 5: Solve for x
    x = 18,359.20/111.84
  6. Step 6: Final answer
    x = 164.16

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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.