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Finding the Fourth Proportional to 116.43, 160.71 and 72.75

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Solution

The fourth proportional to 116.43, 160.71 and 72.75 is: 100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.43 : 160.71 = 72.75 : x
  2. Step 2: Convert to fraction form
    116.43/160.71 = 72.75/x
  3. Step 3: Cross multiply
    116.43x = 160.71 × 72.75
  4. Step 4: Simplify right side
    116.43x = 11,691.65
  5. Step 5: Solve for x
    x = 11,691.65/116.43
  6. Step 6: Final answer
    x = 100.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.