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Finding the Fourth Proportional to 111.24, 168.12 and 111.24

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Solution

The fourth proportional to 111.24, 168.12 and 111.24 is: 168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 168.12 = 111.24 : x
  2. Step 2: Convert to fraction form
    111.24/168.12 = 111.24/x
  3. Step 3: Cross multiply
    111.24x = 168.12 × 111.24
  4. Step 4: Simplify right side
    111.24x = 18,701.67
  5. Step 5: Solve for x
    x = 18,701.67/111.24
  6. Step 6: Final answer
    x = 168.12

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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.