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Finding the Fourth Proportional to 111.46, 167.28 and 74.98

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Solution

The fourth proportional to 111.46, 167.28 and 74.98 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 167.28 = 74.98 : x
  2. Step 2: Convert to fraction form
    111.46/167.28 = 74.98/x
  3. Step 3: Cross multiply
    111.46x = 167.28 × 74.98
  4. Step 4: Simplify right side
    111.46x = 12,542.65
  5. Step 5: Solve for x
    x = 12,542.65/111.46
  6. Step 6: Final answer
    x = 112.53

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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.