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Finding the Fourth Proportional to 171.60, 236.81 and 97.90

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Solution

The fourth proportional to 171.60, 236.81 and 97.90 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.60 : 236.81 = 97.90 : x
  2. Step 2: Convert to fraction form
    171.60/236.81 = 97.90/x
  3. Step 3: Cross multiply
    171.60x = 236.81 × 97.90
  4. Step 4: Simplify right side
    171.60x = 23,183.70
  5. Step 5: Solve for x
    x = 23,183.70/171.60
  6. Step 6: Final answer
    x = 135.10

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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.