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Finding the Fourth Proportional to 116.24, 174.02 and 85.73

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Solution

The fourth proportional to 116.24, 174.02 and 85.73 is: 128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 174.02 = 85.73 : x
  2. Step 2: Convert to fraction form
    116.24/174.02 = 85.73/x
  3. Step 3: Cross multiply
    116.24x = 174.02 × 85.73
  4. Step 4: Simplify right side
    116.24x = 14,917.44
  5. Step 5: Solve for x
    x = 14,917.44/116.24
  6. Step 6: Final answer
    x = 128.34

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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.