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Finding the Fourth Proportional to 111.74, 167.60 and 110.14

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Solution

The fourth proportional to 111.74, 167.60 and 110.14 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 167.60 = 110.14 : x
  2. Step 2: Convert to fraction form
    111.74/167.60 = 110.14/x
  3. Step 3: Cross multiply
    111.74x = 167.60 × 110.14
  4. Step 4: Simplify right side
    111.74x = 18,460.26
  5. Step 5: Solve for x
    x = 18,460.26/111.74
  6. Step 6: Final answer
    x = 165.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.