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Finding the Fourth Proportional to 111.11, 165.65 and 110.84

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Solution

The fourth proportional to 111.11, 165.65 and 110.84 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.11 : 165.65 = 110.84 : x
  2. Step 2: Convert to fraction form
    111.11/165.65 = 110.84/x
  3. Step 3: Cross multiply
    111.11x = 165.65 × 110.84
  4. Step 4: Simplify right side
    111.11x = 18,359.26
  5. Step 5: Solve for x
    x = 18,359.26/111.11
  6. Step 6: Final answer
    x = 165.24

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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.