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Finding the Fourth Proportional to 114.12, 169.79 and 109.80

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Solution

The fourth proportional to 114.12, 169.79 and 109.80 is: 163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 169.79 = 109.80 : x
  2. Step 2: Convert to fraction form
    114.12/169.79 = 109.80/x
  3. Step 3: Cross multiply
    114.12x = 169.79 × 109.80
  4. Step 4: Simplify right side
    114.12x = 18,642.39
  5. Step 5: Solve for x
    x = 18,642.39/114.12
  6. Step 6: Final answer
    x = 163.36

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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.