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Finding the Fourth Proportional to 111.60, 167.09 and 110.08

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Solution

The fourth proportional to 111.60, 167.09 and 110.08 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 167.09 = 110.08 : x
  2. Step 2: Convert to fraction form
    111.60/167.09 = 110.08/x
  3. Step 3: Cross multiply
    111.60x = 167.09 × 110.08
  4. Step 4: Simplify right side
    111.60x = 18,393.71
  5. Step 5: Solve for x
    x = 18,393.71/111.60
  6. Step 6: Final answer
    x = 164.81

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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.