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Finding the Fourth Proportional to 121.08, 180.92 and 116.76

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Solution

The fourth proportional to 121.08, 180.92 and 116.76 is: 174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.08 : 180.92 = 116.76 : x
  2. Step 2: Convert to fraction form
    121.08/180.92 = 116.76/x
  3. Step 3: Cross multiply
    121.08x = 180.92 × 116.76
  4. Step 4: Simplify right side
    121.08x = 21,124.22
  5. Step 5: Solve for x
    x = 21,124.22/121.08
  6. Step 6: Final answer
    x = 174.46

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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.