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Finding the Fourth Proportional to 111.06, 153.24 and 74.27

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Solution

The fourth proportional to 111.06, 153.24 and 74.27 is: 102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 153.24 = 74.27 : x
  2. Step 2: Convert to fraction form
    111.06/153.24 = 74.27/x
  3. Step 3: Cross multiply
    111.06x = 153.24 × 74.27
  4. Step 4: Simplify right side
    111.06x = 11,380.37
  5. Step 5: Solve for x
    x = 11,380.37/111.06
  6. Step 6: Final answer
    x = 102.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.