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Finding the Fourth Proportional to 170.36, 235.09 and 96.68

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Solution

The fourth proportional to 170.36, 235.09 and 96.68 is: 133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.36 : 235.09 = 96.68 : x
  2. Step 2: Convert to fraction form
    170.36/235.09 = 96.68/x
  3. Step 3: Cross multiply
    170.36x = 235.09 × 96.68
  4. Step 4: Simplify right side
    170.36x = 22,727.43
  5. Step 5: Solve for x
    x = 22,727.43/170.36
  6. Step 6: Final answer
    x = 133.41

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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.