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Finding the Fourth Proportional to 109.81, 164.24 and 95.37

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Solution

The fourth proportional to 109.81, 164.24 and 95.37 is: 142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 164.24 = 95.37 : x
  2. Step 2: Convert to fraction form
    109.81/164.24 = 95.37/x
  3. Step 3: Cross multiply
    109.81x = 164.24 × 95.37
  4. Step 4: Simplify right side
    109.81x = 15,663.57
  5. Step 5: Solve for x
    x = 15,663.57/109.81
  6. Step 6: Final answer
    x = 142.64

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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.