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Finding the Fourth Proportional to 121.46, 182.19 and 30.16

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Solution

The fourth proportional to 121.46, 182.19 and 30.16 is: 45.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.46 : 182.19 = 30.16 : x
  2. Step 2: Convert to fraction form
    121.46/182.19 = 30.16/x
  3. Step 3: Cross multiply
    121.46x = 182.19 × 30.16
  4. Step 4: Simplify right side
    121.46x = 5,494.00
  5. Step 5: Solve for x
    x = 5,494.00/121.46
  6. Step 6: Final answer
    x = 45.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.