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Finding the Fourth Proportional to 113.56, 169.49 and 111.76

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Solution

The fourth proportional to 113.56, 169.49 and 111.76 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.56 : 169.49 = 111.76 : x
  2. Step 2: Convert to fraction form
    113.56/169.49 = 111.76/x
  3. Step 3: Cross multiply
    113.56x = 169.49 × 111.76
  4. Step 4: Simplify right side
    113.56x = 18,942.20
  5. Step 5: Solve for x
    x = 18,942.20/113.56
  6. Step 6: Final answer
    x = 166.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.