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Finding the Fourth Proportional to 116.09, 160.12 and 74.57

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Solution

The fourth proportional to 116.09, 160.12 and 74.57 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.09 : 160.12 = 74.57 : x
  2. Step 2: Convert to fraction form
    116.09/160.12 = 74.57/x
  3. Step 3: Cross multiply
    116.09x = 160.12 × 74.57
  4. Step 4: Simplify right side
    116.09x = 11,940.15
  5. Step 5: Solve for x
    x = 11,940.15/116.09
  6. Step 6: Final answer
    x = 102.86

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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.