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Finding the Fourth Proportional to 121.37, 166.46 and 117.45

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Solution

The fourth proportional to 121.37, 166.46 and 117.45 is: 161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.37 : 166.46 = 117.45 : x
  2. Step 2: Convert to fraction form
    121.37/166.46 = 117.45/x
  3. Step 3: Cross multiply
    121.37x = 166.46 × 117.45
  4. Step 4: Simplify right side
    121.37x = 19,550.14
  5. Step 5: Solve for x
    x = 19,550.14/121.37
  6. Step 6: Final answer
    x = 161.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.