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Finding the Fourth Proportional to 110, 164.91 and 49.10

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Solution

The fourth proportional to 110, 164.91 and 49.10 is: 73.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 164.91 = 49.10 : x
  2. Step 2: Convert to fraction form
    110/164.91 = 49.10/x
  3. Step 3: Cross multiply
    110x = 164.91 × 49.10
  4. Step 4: Simplify right side
    110x = 8,097.08
  5. Step 5: Solve for x
    x = 8,097.08/110
  6. Step 6: Final answer
    x = 73.61

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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.