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Finding the Fourth Proportional to 171.49, 236.66 and 97.83

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Solution

The fourth proportional to 171.49, 236.66 and 97.83 is: 135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 236.66 = 97.83 : x
  2. Step 2: Convert to fraction form
    171.49/236.66 = 97.83/x
  3. Step 3: Cross multiply
    171.49x = 236.66 × 97.83
  4. Step 4: Simplify right side
    171.49x = 23,153.04
  5. Step 5: Solve for x
    x = 23,153.04/171.49
  6. Step 6: Final answer
    x = 135.01

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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.