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Finding the Fourth Proportional to 110.50, 165.12 and 107.93

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Solution

The fourth proportional to 110.50, 165.12 and 107.93 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.12 = 107.93 : x
  2. Step 2: Convert to fraction form
    110.50/165.12 = 107.93/x
  3. Step 3: Cross multiply
    110.50x = 165.12 × 107.93
  4. Step 4: Simplify right side
    110.50x = 17,822.02
  5. Step 5: Solve for x
    x = 17,822.02/110.50
  6. Step 6: Final answer
    x = 161.29

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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.