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Finding the Fourth Proportional to 121.32, 180.84 and 111.60

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Solution

The fourth proportional to 121.32, 180.84 and 111.60 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 180.84 = 111.60 : x
  2. Step 2: Convert to fraction form
    121.32/180.84 = 111.60/x
  3. Step 3: Cross multiply
    121.32x = 180.84 × 111.60
  4. Step 4: Simplify right side
    121.32x = 20,181.74
  5. Step 5: Solve for x
    x = 20,181.74/121.32
  6. Step 6: Final answer
    x = 166.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.