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Finding the Fourth Proportional to 116.96, 174.38 and 112.59

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Solution

The fourth proportional to 116.96, 174.38 and 112.59 is: 167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.96 : 174.38 = 112.59 : x
  2. Step 2: Convert to fraction form
    116.96/174.38 = 112.59/x
  3. Step 3: Cross multiply
    116.96x = 174.38 × 112.59
  4. Step 4: Simplify right side
    116.96x = 19,632.88
  5. Step 5: Solve for x
    x = 19,632.88/116.96
  6. Step 6: Final answer
    x = 167.87

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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.