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Finding the Fourth Proportional to 121.94, 168.14 and 102.30

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Solution

The fourth proportional to 121.94, 168.14 and 102.30 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 168.14 = 102.30 : x
  2. Step 2: Convert to fraction form
    121.94/168.14 = 102.30/x
  3. Step 3: Cross multiply
    121.94x = 168.14 × 102.30
  4. Step 4: Simplify right side
    121.94x = 17,200.72
  5. Step 5: Solve for x
    x = 17,200.72/121.94
  6. Step 6: Final answer
    x = 141.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.