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Finding the Fourth Proportional to 117.43, 176.19 and 109

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Solution

The fourth proportional to 117.43, 176.19 and 109 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.43 : 176.19 = 109 : x
  2. Step 2: Convert to fraction form
    117.43/176.19 = 109/x
  3. Step 3: Cross multiply
    117.43x = 176.19 × 109
  4. Step 4: Simplify right side
    117.43x = 19,204.71
  5. Step 5: Solve for x
    x = 19,204.71/117.43
  6. Step 6: Final answer
    x = 163.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.