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Finding the Fourth Proportional to 121.42, 167.64 and 83.64

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Solution

The fourth proportional to 121.42, 167.64 and 83.64 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 167.64 = 83.64 : x
  2. Step 2: Convert to fraction form
    121.42/167.64 = 83.64/x
  3. Step 3: Cross multiply
    121.42x = 167.64 × 83.64
  4. Step 4: Simplify right side
    121.42x = 14,020.15
  5. Step 5: Solve for x
    x = 14,020.15/121.42
  6. Step 6: Final answer
    x = 115.47

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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.