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Finding the Fourth Proportional to 110.20, 164.86 and 95.15

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Solution

The fourth proportional to 110.20, 164.86 and 95.15 is: 142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.20 : 164.86 = 95.15 : x
  2. Step 2: Convert to fraction form
    110.20/164.86 = 95.15/x
  3. Step 3: Cross multiply
    110.20x = 164.86 × 95.15
  4. Step 4: Simplify right side
    110.20x = 15,685.37
  5. Step 5: Solve for x
    x = 15,685.37/110.20
  6. Step 6: Final answer
    x = 142.34

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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.