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Finding the Fourth Proportional to 112.37, 169.26 and 102.65

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Solution

The fourth proportional to 112.37, 169.26 and 102.65 is: 154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.37 : 169.26 = 102.65 : x
  2. Step 2: Convert to fraction form
    112.37/169.26 = 102.65/x
  3. Step 3: Cross multiply
    112.37x = 169.26 × 102.65
  4. Step 4: Simplify right side
    112.37x = 17,374.03
  5. Step 5: Solve for x
    x = 17,374.03/112.37
  6. Step 6: Final answer
    x = 154.61

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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.