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Finding the Fourth Proportional to 121.88, 182.83 and 35.23

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Solution

The fourth proportional to 121.88, 182.83 and 35.23 is: 52.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 182.83 = 35.23 : x
  2. Step 2: Convert to fraction form
    121.88/182.83 = 35.23/x
  3. Step 3: Cross multiply
    121.88x = 182.83 × 35.23
  4. Step 4: Simplify right side
    121.88x = 6,440.19
  5. Step 5: Solve for x
    x = 6,440.19/121.88
  6. Step 6: Final answer
    x = 52.84

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Why These Related Problems?

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