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Finding the Fourth Proportional to 171.09, 235.76 and 121.82

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Solution

The fourth proportional to 171.09, 235.76 and 121.82 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.09 : 235.76 = 121.82 : x
  2. Step 2: Convert to fraction form
    171.09/235.76 = 121.82/x
  3. Step 3: Cross multiply
    171.09x = 235.76 × 121.82
  4. Step 4: Simplify right side
    171.09x = 28,718.50
  5. Step 5: Solve for x
    x = 28,718.50/171.09
  6. Step 6: Final answer
    x = 167.86

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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.