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Finding the Fourth Proportional to 111.18, 165.77 and 108.38

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Solution

The fourth proportional to 111.18, 165.77 and 108.38 is: 161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.18 : 165.77 = 108.38 : x
  2. Step 2: Convert to fraction form
    111.18/165.77 = 108.38/x
  3. Step 3: Cross multiply
    111.18x = 165.77 × 108.38
  4. Step 4: Simplify right side
    111.18x = 17,965.61
  5. Step 5: Solve for x
    x = 17,965.61/111.18
  6. Step 6: Final answer
    x = 161.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.