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Finding the Fourth Proportional to 171.35, 236.42 and 96.65

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Solution

The fourth proportional to 171.35, 236.42 and 96.65 is: 133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.35 : 236.42 = 96.65 : x
  2. Step 2: Convert to fraction form
    171.35/236.42 = 96.65/x
  3. Step 3: Cross multiply
    171.35x = 236.42 × 96.65
  4. Step 4: Simplify right side
    171.35x = 22,849.99
  5. Step 5: Solve for x
    x = 22,849.99/171.35
  6. Step 6: Final answer
    x = 133.36

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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.