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Finding the Fourth Proportional to 170.74, 235.46 and 121.78

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Solution

The fourth proportional to 170.74, 235.46 and 121.78 is: 167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.74 : 235.46 = 121.78 : x
  2. Step 2: Convert to fraction form
    170.74/235.46 = 121.78/x
  3. Step 3: Cross multiply
    170.74x = 235.46 × 121.78
  4. Step 4: Simplify right side
    170.74x = 28,674.32
  5. Step 5: Solve for x
    x = 28,674.32/170.74
  6. Step 6: Final answer
    x = 167.94

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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.