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Finding the Fourth Proportional to 171.06, 236.16 and 112.86

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Solution

The fourth proportional to 171.06, 236.16 and 112.86 is: 155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 236.16 = 112.86 : x
  2. Step 2: Convert to fraction form
    171.06/236.16 = 112.86/x
  3. Step 3: Cross multiply
    171.06x = 236.16 × 112.86
  4. Step 4: Simplify right side
    171.06x = 26,653.02
  5. Step 5: Solve for x
    x = 26,653.02/171.06
  6. Step 6: Final answer
    x = 155.81

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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.