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Finding the Fourth Proportional to 111.75, 167.63 and 30.59

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Solution

The fourth proportional to 111.75, 167.63 and 30.59 is: 45.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.75 : 167.63 = 30.59 : x
  2. Step 2: Convert to fraction form
    111.75/167.63 = 30.59/x
  3. Step 3: Cross multiply
    111.75x = 167.63 × 30.59
  4. Step 4: Simplify right side
    111.75x = 5,127.80
  5. Step 5: Solve for x
    x = 5,127.80/111.75
  6. Step 6: Final answer
    x = 45.89

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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.