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Finding the Fourth Proportional to 123.42, 169.32 and 120.24

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Solution

The fourth proportional to 123.42, 169.32 and 120.24 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 169.32 = 120.24 : x
  2. Step 2: Convert to fraction form
    123.42/169.32 = 120.24/x
  3. Step 3: Cross multiply
    123.42x = 169.32 × 120.24
  4. Step 4: Simplify right side
    123.42x = 20,359.04
  5. Step 5: Solve for x
    x = 20,359.04/123.42
  6. Step 6: Final answer
    x = 164.96

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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.