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Finding the Fourth Proportional to 116.55, 161.33 and 106.83

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Solution

The fourth proportional to 116.55, 161.33 and 106.83 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.55 : 161.33 = 106.83 : x
  2. Step 2: Convert to fraction form
    116.55/161.33 = 106.83/x
  3. Step 3: Cross multiply
    116.55x = 161.33 × 106.83
  4. Step 4: Simplify right side
    116.55x = 17,234.35
  5. Step 5: Solve for x
    x = 17,234.35/116.55
  6. Step 6: Final answer
    x = 147.87

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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.