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Finding the Fourth Proportional to 111.81, 167.61 and 47.64

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Solution

The fourth proportional to 111.81, 167.61 and 47.64 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.81 : 167.61 = 47.64 : x
  2. Step 2: Convert to fraction form
    111.81/167.61 = 47.64/x
  3. Step 3: Cross multiply
    111.81x = 167.61 × 47.64
  4. Step 4: Simplify right side
    111.81x = 7,984.94
  5. Step 5: Solve for x
    x = 7,984.94/111.81
  6. Step 6: Final answer
    x = 71.42

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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.