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Finding the Fourth Proportional to 121.57, 167.81 and 115.37

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Solution

The fourth proportional to 121.57, 167.81 and 115.37 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.57 : 167.81 = 115.37 : x
  2. Step 2: Convert to fraction form
    121.57/167.81 = 115.37/x
  3. Step 3: Cross multiply
    121.57x = 167.81 × 115.37
  4. Step 4: Simplify right side
    121.57x = 19,360.49
  5. Step 5: Solve for x
    x = 19,360.49/121.57
  6. Step 6: Final answer
    x = 159.25

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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.