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Finding the Fourth Proportional to 111.98, 167.86 and 73.48

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Solution

The fourth proportional to 111.98, 167.86 and 73.48 is: 110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.98 : 167.86 = 73.48 : x
  2. Step 2: Convert to fraction form
    111.98/167.86 = 73.48/x
  3. Step 3: Cross multiply
    111.98x = 167.86 × 73.48
  4. Step 4: Simplify right side
    111.98x = 12,334.35
  5. Step 5: Solve for x
    x = 12,334.35/111.98
  6. Step 6: Final answer
    x = 110.15

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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.