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Finding the Fourth Proportional to 110.03, 163.80 and 109.35

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Solution

The fourth proportional to 110.03, 163.80 and 109.35 is: 162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.03 : 163.80 = 109.35 : x
  2. Step 2: Convert to fraction form
    110.03/163.80 = 109.35/x
  3. Step 3: Cross multiply
    110.03x = 163.80 × 109.35
  4. Step 4: Simplify right side
    110.03x = 17,911.22
  5. Step 5: Solve for x
    x = 17,911.22/110.03
  6. Step 6: Final answer
    x = 162.78

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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.