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Finding the Fourth Proportional to 111.74, 167.68 and 46.78

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Solution

The fourth proportional to 111.74, 167.68 and 46.78 is: 70.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 167.68 = 46.78 : x
  2. Step 2: Convert to fraction form
    111.74/167.68 = 46.78/x
  3. Step 3: Cross multiply
    111.74x = 167.68 × 46.78
  4. Step 4: Simplify right side
    111.74x = 7,843.53
  5. Step 5: Solve for x
    x = 7,843.53/111.74
  6. Step 6: Final answer
    x = 70.19

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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.