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Finding the Fourth Proportional to 116.11, 160.28 and 76.81

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Solution

The fourth proportional to 116.11, 160.28 and 76.81 is: 106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.11 : 160.28 = 76.81 : x
  2. Step 2: Convert to fraction form
    116.11/160.28 = 76.81/x
  3. Step 3: Cross multiply
    116.11x = 160.28 × 76.81
  4. Step 4: Simplify right side
    116.11x = 12,310.39
  5. Step 5: Solve for x
    x = 12,310.39/116.11
  6. Step 6: Final answer
    x = 106.02

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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.