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Finding the Fourth Proportional to 110.27, 165 and 98.93

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Solution

The fourth proportional to 110.27, 165 and 98.93 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 165 = 98.93 : x
  2. Step 2: Convert to fraction form
    110.27/165 = 98.93/x
  3. Step 3: Cross multiply
    110.27x = 165 × 98.93
  4. Step 4: Simplify right side
    110.27x = 16,323.45
  5. Step 5: Solve for x
    x = 16,323.45/110.27
  6. Step 6: Final answer
    x = 148.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.