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Finding the Fourth Proportional to 112.12, 168.99 and 105.50

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Solution

The fourth proportional to 112.12, 168.99 and 105.50 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 168.99 = 105.50 : x
  2. Step 2: Convert to fraction form
    112.12/168.99 = 105.50/x
  3. Step 3: Cross multiply
    112.12x = 168.99 × 105.50
  4. Step 4: Simplify right side
    112.12x = 17,828.47
  5. Step 5: Solve for x
    x = 17,828.47/112.12
  6. Step 6: Final answer
    x = 159.02

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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.