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Finding the Fourth Proportional to 112.42, 169.24 and 103

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Solution

The fourth proportional to 112.42, 169.24 and 103 is: 155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.42 : 169.24 = 103 : x
  2. Step 2: Convert to fraction form
    112.42/169.24 = 103/x
  3. Step 3: Cross multiply
    112.42x = 169.24 × 103
  4. Step 4: Simplify right side
    112.42x = 17,431.72
  5. Step 5: Solve for x
    x = 17,431.72/112.42
  6. Step 6: Final answer
    x = 155.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.