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Finding the Fourth Proportional to 121.12, 180.85 and 104.02

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Solution

The fourth proportional to 121.12, 180.85 and 104.02 is: 155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 180.85 = 104.02 : x
  2. Step 2: Convert to fraction form
    121.12/180.85 = 104.02/x
  3. Step 3: Cross multiply
    121.12x = 180.85 × 104.02
  4. Step 4: Simplify right side
    121.12x = 18,812.02
  5. Step 5: Solve for x
    x = 18,812.02/121.12
  6. Step 6: Final answer
    x = 155.32

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Why These Related Problems?

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