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Finding the Fourth Proportional to 111.10, 167.68 and 111.10

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Solution

The fourth proportional to 111.10, 167.68 and 111.10 is: 167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.10 : 167.68 = 111.10 : x
  2. Step 2: Convert to fraction form
    111.10/167.68 = 111.10/x
  3. Step 3: Cross multiply
    111.10x = 167.68 × 111.10
  4. Step 4: Simplify right side
    111.10x = 18,629.25
  5. Step 5: Solve for x
    x = 18,629.25/111.10
  6. Step 6: Final answer
    x = 167.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.