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Finding the Fourth Proportional to 121.66, 167.86 and 74.96

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Solution

The fourth proportional to 121.66, 167.86 and 74.96 is: 103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.66 : 167.86 = 74.96 : x
  2. Step 2: Convert to fraction form
    121.66/167.86 = 74.96/x
  3. Step 3: Cross multiply
    121.66x = 167.86 × 74.96
  4. Step 4: Simplify right side
    121.66x = 12,582.79
  5. Step 5: Solve for x
    x = 12,582.79/121.66
  6. Step 6: Final answer
    x = 103.43

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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.