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Finding the Fourth Proportional to 121.20, 166.99 and 117.96

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Solution

The fourth proportional to 121.20, 166.99 and 117.96 is: 162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.20 : 166.99 = 117.96 : x
  2. Step 2: Convert to fraction form
    121.20/166.99 = 117.96/x
  3. Step 3: Cross multiply
    121.20x = 166.99 × 117.96
  4. Step 4: Simplify right side
    121.20x = 19,698.14
  5. Step 5: Solve for x
    x = 19,698.14/121.20
  6. Step 6: Final answer
    x = 162.53

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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.