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Finding the Fourth Proportional to 120.72, 165.64 and 119.36

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Solution

The fourth proportional to 120.72, 165.64 and 119.36 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 165.64 = 119.36 : x
  2. Step 2: Convert to fraction form
    120.72/165.64 = 119.36/x
  3. Step 3: Cross multiply
    120.72x = 165.64 × 119.36
  4. Step 4: Simplify right side
    120.72x = 19,770.79
  5. Step 5: Solve for x
    x = 19,770.79/120.72
  6. Step 6: Final answer
    x = 163.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.