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Finding the Fourth Proportional to 109.42, 163.51 and 106.99

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Solution

The fourth proportional to 109.42, 163.51 and 106.99 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.42 : 163.51 = 106.99 : x
  2. Step 2: Convert to fraction form
    109.42/163.51 = 106.99/x
  3. Step 3: Cross multiply
    109.42x = 163.51 × 106.99
  4. Step 4: Simplify right side
    109.42x = 17,493.93
  5. Step 5: Solve for x
    x = 17,493.93/109.42
  6. Step 6: Final answer
    x = 159.88

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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.