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Finding the Fourth Proportional to 121.12, 180.81 and 102.90

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Solution

The fourth proportional to 121.12, 180.81 and 102.90 is: 153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 180.81 = 102.90 : x
  2. Step 2: Convert to fraction form
    121.12/180.81 = 102.90/x
  3. Step 3: Cross multiply
    121.12x = 180.81 × 102.90
  4. Step 4: Simplify right side
    121.12x = 18,605.35
  5. Step 5: Solve for x
    x = 18,605.35/121.12
  6. Step 6: Final answer
    x = 153.61

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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.