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Finding the Fourth Proportional to 116.06, 160.02 and 81.02

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Solution

The fourth proportional to 116.06, 160.02 and 81.02 is: 111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.06 : 160.02 = 81.02 : x
  2. Step 2: Convert to fraction form
    116.06/160.02 = 81.02/x
  3. Step 3: Cross multiply
    116.06x = 160.02 × 81.02
  4. Step 4: Simplify right side
    116.06x = 12,964.82
  5. Step 5: Solve for x
    x = 12,964.82/116.06
  6. Step 6: Final answer
    x = 111.71

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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.