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Finding the Fourth Proportional to 110.89, 165.29 and 109.07

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Solution

The fourth proportional to 110.89, 165.29 and 109.07 is: 162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.89 : 165.29 = 109.07 : x
  2. Step 2: Convert to fraction form
    110.89/165.29 = 109.07/x
  3. Step 3: Cross multiply
    110.89x = 165.29 × 109.07
  4. Step 4: Simplify right side
    110.89x = 18,027.08
  5. Step 5: Solve for x
    x = 18,027.08/110.89
  6. Step 6: Final answer
    x = 162.57

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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.