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Finding the Fourth Proportional to 168.49, 232.53 and 94.81

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Solution

The fourth proportional to 168.49, 232.53 and 94.81 is: 130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 232.53 = 94.81 : x
  2. Step 2: Convert to fraction form
    168.49/232.53 = 94.81/x
  3. Step 3: Cross multiply
    168.49x = 232.53 × 94.81
  4. Step 4: Simplify right side
    168.49x = 22,045.94
  5. Step 5: Solve for x
    x = 22,045.94/168.49
  6. Step 6: Final answer
    x = 130.84

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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.