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Finding the Fourth Proportional to 116.36, 174.27 and 110.69

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Solution

The fourth proportional to 116.36, 174.27 and 110.69 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.36 : 174.27 = 110.69 : x
  2. Step 2: Convert to fraction form
    116.36/174.27 = 110.69/x
  3. Step 3: Cross multiply
    116.36x = 174.27 × 110.69
  4. Step 4: Simplify right side
    116.36x = 19,289.95
  5. Step 5: Solve for x
    x = 19,289.95/116.36
  6. Step 6: Final answer
    x = 165.78

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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.