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Finding the Fourth Proportional to 168.84, 232.79 and 113.49

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Solution

The fourth proportional to 168.84, 232.79 and 113.49 is: 156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 232.79 = 113.49 : x
  2. Step 2: Convert to fraction form
    168.84/232.79 = 113.49/x
  3. Step 3: Cross multiply
    168.84x = 232.79 × 113.49
  4. Step 4: Simplify right side
    168.84x = 26,418.77
  5. Step 5: Solve for x
    x = 26,418.77/168.84
  6. Step 6: Final answer
    x = 156.47

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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.