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Finding the Fourth Proportional to 171.06, 235.72 and 119.22

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Solution

The fourth proportional to 171.06, 235.72 and 119.22 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 235.72 = 119.22 : x
  2. Step 2: Convert to fraction form
    171.06/235.72 = 119.22/x
  3. Step 3: Cross multiply
    171.06x = 235.72 × 119.22
  4. Step 4: Simplify right side
    171.06x = 28,102.54
  5. Step 5: Solve for x
    x = 28,102.54/171.06
  6. Step 6: Final answer
    x = 164.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.