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Finding the Fourth Proportional to 113.65, 169.34 and 106.67

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Solution

The fourth proportional to 113.65, 169.34 and 106.67 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.65 : 169.34 = 106.67 : x
  2. Step 2: Convert to fraction form
    113.65/169.34 = 106.67/x
  3. Step 3: Cross multiply
    113.65x = 169.34 × 106.67
  4. Step 4: Simplify right side
    113.65x = 18,063.39
  5. Step 5: Solve for x
    x = 18,063.39/113.65
  6. Step 6: Final answer
    x = 158.94

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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.