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Finding the Fourth Proportional to 120.05, 165.48 and 81.17

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Solution

The fourth proportional to 120.05, 165.48 and 81.17 is: 111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.05 : 165.48 = 81.17 : x
  2. Step 2: Convert to fraction form
    120.05/165.48 = 81.17/x
  3. Step 3: Cross multiply
    120.05x = 165.48 × 81.17
  4. Step 4: Simplify right side
    120.05x = 13,432.01
  5. Step 5: Solve for x
    x = 13,432.01/120.05
  6. Step 6: Final answer
    x = 111.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.