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Finding the Fourth Proportional to 121.60, 167.62 and 84.75

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Solution

The fourth proportional to 121.60, 167.62 and 84.75 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.62 = 84.75 : x
  2. Step 2: Convert to fraction form
    121.60/167.62 = 84.75/x
  3. Step 3: Cross multiply
    121.60x = 167.62 × 84.75
  4. Step 4: Simplify right side
    121.60x = 14,205.80
  5. Step 5: Solve for x
    x = 14,205.80/121.60
  6. Step 6: Final answer
    x = 116.82

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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.