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Finding the Fourth Proportional to 111.36, 165.98 and 108.93

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Solution

The fourth proportional to 111.36, 165.98 and 108.93 is: 162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 165.98 = 108.93 : x
  2. Step 2: Convert to fraction form
    111.36/165.98 = 108.93/x
  3. Step 3: Cross multiply
    111.36x = 165.98 × 108.93
  4. Step 4: Simplify right side
    111.36x = 18,079.66
  5. Step 5: Solve for x
    x = 18,079.66/111.36
  6. Step 6: Final answer
    x = 162.35

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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.