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Finding the Fourth Proportional to 116.78, 174.29 and 110.84

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Solution

The fourth proportional to 116.78, 174.29 and 110.84 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 174.29 = 110.84 : x
  2. Step 2: Convert to fraction form
    116.78/174.29 = 110.84/x
  3. Step 3: Cross multiply
    116.78x = 174.29 × 110.84
  4. Step 4: Simplify right side
    116.78x = 19,316.88
  5. Step 5: Solve for x
    x = 19,316.88/116.78
  6. Step 6: Final answer
    x = 165.42

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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.