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Finding the Fourth Proportional to 111.74, 167.62 and 38.66

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Solution

The fourth proportional to 111.74, 167.62 and 38.66 is: 57.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 167.62 = 38.66 : x
  2. Step 2: Convert to fraction form
    111.74/167.62 = 38.66/x
  3. Step 3: Cross multiply
    111.74x = 167.62 × 38.66
  4. Step 4: Simplify right side
    111.74x = 6,480.19
  5. Step 5: Solve for x
    x = 6,480.19/111.74
  6. Step 6: Final answer
    x = 57.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.