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Finding the Fourth Proportional to 121.98, 182.84 and 53.48

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Solution

The fourth proportional to 121.98, 182.84 and 53.48 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 182.84 = 53.48 : x
  2. Step 2: Convert to fraction form
    121.98/182.84 = 53.48/x
  3. Step 3: Cross multiply
    121.98x = 182.84 × 53.48
  4. Step 4: Simplify right side
    121.98x = 9,778.28
  5. Step 5: Solve for x
    x = 9,778.28/121.98
  6. Step 6: Final answer
    x = 80.16

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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.