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Finding the Fourth Proportional to 117.10, 175.38 and 109

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Solution

The fourth proportional to 117.10, 175.38 and 109 is: 163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.10 : 175.38 = 109 : x
  2. Step 2: Convert to fraction form
    117.10/175.38 = 109/x
  3. Step 3: Cross multiply
    117.10x = 175.38 × 109
  4. Step 4: Simplify right side
    117.10x = 19,116.42
  5. Step 5: Solve for x
    x = 19,116.42/117.10
  6. Step 6: Final answer
    x = 163.25

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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.