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Finding the Fourth Proportional to 109.82, 164.43 and 75.65

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Solution

The fourth proportional to 109.82, 164.43 and 75.65 is: 113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 164.43 = 75.65 : x
  2. Step 2: Convert to fraction form
    109.82/164.43 = 75.65/x
  3. Step 3: Cross multiply
    109.82x = 164.43 × 75.65
  4. Step 4: Simplify right side
    109.82x = 12,437.93
  5. Step 5: Solve for x
    x = 12,437.93/109.82
  6. Step 6: Final answer
    x = 113.26

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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.