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Finding the Fourth Proportional to 121.98, 183.03 and 53.56

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Solution

The fourth proportional to 121.98, 183.03 and 53.56 is: 80.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 183.03 = 53.56 : x
  2. Step 2: Convert to fraction form
    121.98/183.03 = 53.56/x
  3. Step 3: Cross multiply
    121.98x = 183.03 × 53.56
  4. Step 4: Simplify right side
    121.98x = 9,803.11
  5. Step 5: Solve for x
    x = 9,803.11/121.98
  6. Step 6: Final answer
    x = 80.36

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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.