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Finding the Fourth Proportional to 116.05, 160.13 and 69.44

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Solution

The fourth proportional to 116.05, 160.13 and 69.44 is: 95.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 160.13 = 69.44 : x
  2. Step 2: Convert to fraction form
    116.05/160.13 = 69.44/x
  3. Step 3: Cross multiply
    116.05x = 160.13 × 69.44
  4. Step 4: Simplify right side
    116.05x = 11,119.43
  5. Step 5: Solve for x
    x = 11,119.43/116.05
  6. Step 6: Final answer
    x = 95.82

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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.