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Finding the Fourth Proportional to 112.96, 169.67 and 109.77

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Solution

The fourth proportional to 112.96, 169.67 and 109.77 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 169.67 = 109.77 : x
  2. Step 2: Convert to fraction form
    112.96/169.67 = 109.77/x
  3. Step 3: Cross multiply
    112.96x = 169.67 × 109.77
  4. Step 4: Simplify right side
    112.96x = 18,625.24
  5. Step 5: Solve for x
    x = 18,625.24/112.96
  6. Step 6: Final answer
    x = 164.88

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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.