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Finding the Fourth Proportional to 122, 168.16 and 104.48

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Solution

The fourth proportional to 122, 168.16 and 104.48 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 168.16 = 104.48 : x
  2. Step 2: Convert to fraction form
    122/168.16 = 104.48/x
  3. Step 3: Cross multiply
    122x = 168.16 × 104.48
  4. Step 4: Simplify right side
    122x = 17,569.36
  5. Step 5: Solve for x
    x = 17,569.36/122
  6. Step 6: Final answer
    x = 144.01

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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.