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Finding the Fourth Proportional to 111.86, 167.86 and 73.36

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Solution

The fourth proportional to 111.86, 167.86 and 73.36 is: 110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 167.86 = 73.36 : x
  2. Step 2: Convert to fraction form
    111.86/167.86 = 73.36/x
  3. Step 3: Cross multiply
    111.86x = 167.86 × 73.36
  4. Step 4: Simplify right side
    111.86x = 12,313.46
  5. Step 5: Solve for x
    x = 12,313.46/111.86
  6. Step 6: Final answer
    x = 110.08

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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.