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Finding the Fourth Proportional to 111, 165.42 and 109.98

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Solution

The fourth proportional to 111, 165.42 and 109.98 is: 163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 165.42 = 109.98 : x
  2. Step 2: Convert to fraction form
    111/165.42 = 109.98/x
  3. Step 3: Cross multiply
    111x = 165.42 × 109.98
  4. Step 4: Simplify right side
    111x = 18,192.89
  5. Step 5: Solve for x
    x = 18,192.89/111
  6. Step 6: Final answer
    x = 163.90

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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.