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Finding the Fourth Proportional to 110.40, 164.69 and 92.31

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Solution

The fourth proportional to 110.40, 164.69 and 92.31 is: 137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.40 : 164.69 = 92.31 : x
  2. Step 2: Convert to fraction form
    110.40/164.69 = 92.31/x
  3. Step 3: Cross multiply
    110.40x = 164.69 × 92.31
  4. Step 4: Simplify right side
    110.40x = 15,202.07
  5. Step 5: Solve for x
    x = 15,202.07/110.40
  6. Step 6: Final answer
    x = 137.70

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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.