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Finding the Fourth Proportional to 116.49, 160.60 and 99.85

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Solution

The fourth proportional to 116.49, 160.60 and 99.85 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.49 : 160.60 = 99.85 : x
  2. Step 2: Convert to fraction form
    116.49/160.60 = 99.85/x
  3. Step 3: Cross multiply
    116.49x = 160.60 × 99.85
  4. Step 4: Simplify right side
    116.49x = 16,035.75
  5. Step 5: Solve for x
    x = 16,035.75/116.49
  6. Step 6: Final answer
    x = 137.66

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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.