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Finding the Fourth Proportional to 109.75, 164.93 and 102.84

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Solution

The fourth proportional to 109.75, 164.93 and 102.84 is: 154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.93 = 102.84 : x
  2. Step 2: Convert to fraction form
    109.75/164.93 = 102.84/x
  3. Step 3: Cross multiply
    109.75x = 164.93 × 102.84
  4. Step 4: Simplify right side
    109.75x = 16,961.40
  5. Step 5: Solve for x
    x = 16,961.40/109.75
  6. Step 6: Final answer
    x = 154.55

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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.