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Finding the Fourth Proportional to 121.05, 166.86 and 77.31

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Solution

The fourth proportional to 121.05, 166.86 and 77.31 is: 106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.05 : 166.86 = 77.31 : x
  2. Step 2: Convert to fraction form
    121.05/166.86 = 77.31/x
  3. Step 3: Cross multiply
    121.05x = 166.86 × 77.31
  4. Step 4: Simplify right side
    121.05x = 12,899.95
  5. Step 5: Solve for x
    x = 12,899.95/121.05
  6. Step 6: Final answer
    x = 106.57

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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.