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Finding the Fourth Proportional to 111.54, 167.36 and 47.46

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Solution

The fourth proportional to 111.54, 167.36 and 47.46 is: 71.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.54 : 167.36 = 47.46 : x
  2. Step 2: Convert to fraction form
    111.54/167.36 = 47.46/x
  3. Step 3: Cross multiply
    111.54x = 167.36 × 47.46
  4. Step 4: Simplify right side
    111.54x = 7,942.67
  5. Step 5: Solve for x
    x = 7,942.67/111.54
  6. Step 6: Final answer
    x = 71.21

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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.