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Finding the Fourth Proportional to 121.25, 167.37 and 77.58

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Solution

The fourth proportional to 121.25, 167.37 and 77.58 is: 107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.25 : 167.37 = 77.58 : x
  2. Step 2: Convert to fraction form
    121.25/167.37 = 77.58/x
  3. Step 3: Cross multiply
    121.25x = 167.37 × 77.58
  4. Step 4: Simplify right side
    121.25x = 12,984.08
  5. Step 5: Solve for x
    x = 12,984.08/121.25
  6. Step 6: Final answer
    x = 107.09

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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.