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Finding the Fourth Proportional to 116.29, 174.03 and 116.02

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Solution

The fourth proportional to 116.29, 174.03 and 116.02 is: 173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 174.03 = 116.02 : x
  2. Step 2: Convert to fraction form
    116.29/174.03 = 116.02/x
  3. Step 3: Cross multiply
    116.29x = 174.03 × 116.02
  4. Step 4: Simplify right side
    116.29x = 20,190.96
  5. Step 5: Solve for x
    x = 20,190.96/116.29
  6. Step 6: Final answer
    x = 173.63

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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.