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Finding the Fourth Proportional to 111.69, 167.44 and 75.60

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Solution

The fourth proportional to 111.69, 167.44 and 75.60 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.69 : 167.44 = 75.60 : x
  2. Step 2: Convert to fraction form
    111.69/167.44 = 75.60/x
  3. Step 3: Cross multiply
    111.69x = 167.44 × 75.60
  4. Step 4: Simplify right side
    111.69x = 12,658.46
  5. Step 5: Solve for x
    x = 12,658.46/111.69
  6. Step 6: Final answer
    x = 113.34

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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.