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Finding the Fourth Proportional to 111.87, 167.76 and 71.37

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Solution

The fourth proportional to 111.87, 167.76 and 71.37 is: 107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 167.76 = 71.37 : x
  2. Step 2: Convert to fraction form
    111.87/167.76 = 71.37/x
  3. Step 3: Cross multiply
    111.87x = 167.76 × 71.37
  4. Step 4: Simplify right side
    111.87x = 11,973.03
  5. Step 5: Solve for x
    x = 11,973.03/111.87
  6. Step 6: Final answer
    x = 107.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.