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Finding the Fourth Proportional to 121.30, 168.28 and 116.84

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Solution

The fourth proportional to 121.30, 168.28 and 116.84 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.30 : 168.28 = 116.84 : x
  2. Step 2: Convert to fraction form
    121.30/168.28 = 116.84/x
  3. Step 3: Cross multiply
    121.30x = 168.28 × 116.84
  4. Step 4: Simplify right side
    121.30x = 19,661.96
  5. Step 5: Solve for x
    x = 19,661.96/121.30
  6. Step 6: Final answer
    x = 162.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.