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Finding the Fourth Proportional to 104.42, 144.16 and 81.06

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Solution

The fourth proportional to 104.42, 144.16 and 81.06 is: 111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.42 : 144.16 = 81.06 : x
  2. Step 2: Convert to fraction form
    104.42/144.16 = 81.06/x
  3. Step 3: Cross multiply
    104.42x = 144.16 × 81.06
  4. Step 4: Simplify right side
    104.42x = 11,685.61
  5. Step 5: Solve for x
    x = 11,685.61/104.42
  6. Step 6: Final answer
    x = 111.91

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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.