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Finding the Fourth Proportional to 111.90, 167.63 and 73.34

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Solution

The fourth proportional to 111.90, 167.63 and 73.34 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 167.63 = 73.34 : x
  2. Step 2: Convert to fraction form
    111.90/167.63 = 73.34/x
  3. Step 3: Cross multiply
    111.90x = 167.63 × 73.34
  4. Step 4: Simplify right side
    111.90x = 12,292.78
  5. Step 5: Solve for x
    x = 12,292.78/111.90
  6. Step 6: Final answer
    x = 109.86

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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.