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Finding the Fourth Proportional to 110.34, 165.52 and 83.20

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Solution

The fourth proportional to 110.34, 165.52 and 83.20 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 165.52 = 83.20 : x
  2. Step 2: Convert to fraction form
    110.34/165.52 = 83.20/x
  3. Step 3: Cross multiply
    110.34x = 165.52 × 83.20
  4. Step 4: Simplify right side
    110.34x = 13,771.26
  5. Step 5: Solve for x
    x = 13,771.26/110.34
  6. Step 6: Final answer
    x = 124.81

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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.