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Finding the Fourth Proportional to 111.06, 165.80 and 109.92

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Solution

The fourth proportional to 111.06, 165.80 and 109.92 is: 164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 165.80 = 109.92 : x
  2. Step 2: Convert to fraction form
    111.06/165.80 = 109.92/x
  3. Step 3: Cross multiply
    111.06x = 165.80 × 109.92
  4. Step 4: Simplify right side
    111.06x = 18,224.74
  5. Step 5: Solve for x
    x = 18,224.74/111.06
  6. Step 6: Final answer
    x = 164.10

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Why These Related Problems?

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