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Finding the Fourth Proportional to 110, 164.06 and 103.11

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Solution

The fourth proportional to 110, 164.06 and 103.11 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 164.06 = 103.11 : x
  2. Step 2: Convert to fraction form
    110/164.06 = 103.11/x
  3. Step 3: Cross multiply
    110x = 164.06 × 103.11
  4. Step 4: Simplify right side
    110x = 16,916.23
  5. Step 5: Solve for x
    x = 16,916.23/110
  6. Step 6: Final answer
    x = 153.78

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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.