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Finding the Fourth Proportional to 109.64, 165.23 and 102.80

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Solution

The fourth proportional to 109.64, 165.23 and 102.80 is: 154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 165.23 = 102.80 : x
  2. Step 2: Convert to fraction form
    109.64/165.23 = 102.80/x
  3. Step 3: Cross multiply
    109.64x = 165.23 × 102.80
  4. Step 4: Simplify right side
    109.64x = 16,984.30
  5. Step 5: Solve for x
    x = 16,984.30/109.64
  6. Step 6: Final answer
    x = 154.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.