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Finding the Fourth Proportional to 110.00, 163.88 and 105.34

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Solution

The fourth proportional to 110.00, 163.88 and 105.34 is: 156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.00 : 163.88 = 105.34 : x
  2. Step 2: Convert to fraction form
    110.00/163.88 = 105.34/x
  3. Step 3: Cross multiply
    110.00x = 163.88 × 105.34
  4. Step 4: Simplify right side
    110.00x = 17,262.18
  5. Step 5: Solve for x
    x = 17,262.18/110.00
  6. Step 6: Final answer
    x = 156.94

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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.