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Finding the Fourth Proportional to 111.06, 153.06 and 78.26

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Solution

The fourth proportional to 111.06, 153.06 and 78.26 is: 107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 153.06 = 78.26 : x
  2. Step 2: Convert to fraction form
    111.06/153.06 = 78.26/x
  3. Step 3: Cross multiply
    111.06x = 153.06 × 78.26
  4. Step 4: Simplify right side
    111.06x = 11,978.48
  5. Step 5: Solve for x
    x = 11,978.48/111.06
  6. Step 6: Final answer
    x = 107.86

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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.