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Finding the Fourth Proportional to 116.05, 174.10 and 34.90

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Solution

The fourth proportional to 116.05, 174.10 and 34.90 is: 52.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 174.10 = 34.90 : x
  2. Step 2: Convert to fraction form
    116.05/174.10 = 34.90/x
  3. Step 3: Cross multiply
    116.05x = 174.10 × 34.90
  4. Step 4: Simplify right side
    116.05x = 6,076.09
  5. Step 5: Solve for x
    x = 6,076.09/116.05
  6. Step 6: Final answer
    x = 52.36

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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.