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Finding the Fourth Proportional to 121.57, 167.61 and 77.83

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Solution

The fourth proportional to 121.57, 167.61 and 77.83 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.57 : 167.61 = 77.83 : x
  2. Step 2: Convert to fraction form
    121.57/167.61 = 77.83/x
  3. Step 3: Cross multiply
    121.57x = 167.61 × 77.83
  4. Step 4: Simplify right side
    121.57x = 13,045.09
  5. Step 5: Solve for x
    x = 13,045.09/121.57
  6. Step 6: Final answer
    x = 107.31

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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.