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Finding the Fourth Proportional to 168.94, 233.13 and 91.31

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Solution

The fourth proportional to 168.94, 233.13 and 91.31 is: 126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.94 : 233.13 = 91.31 : x
  2. Step 2: Convert to fraction form
    168.94/233.13 = 91.31/x
  3. Step 3: Cross multiply
    168.94x = 233.13 × 91.31
  4. Step 4: Simplify right side
    168.94x = 21,288.03
  5. Step 5: Solve for x
    x = 21,288.03/168.94
  6. Step 6: Final answer
    x = 126.01

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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.