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Finding the Fourth Proportional to 116.74, 161.76 and 115.27

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Solution

The fourth proportional to 116.74, 161.76 and 115.27 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 161.76 = 115.27 : x
  2. Step 2: Convert to fraction form
    116.74/161.76 = 115.27/x
  3. Step 3: Cross multiply
    116.74x = 161.76 × 115.27
  4. Step 4: Simplify right side
    116.74x = 18,645.67
  5. Step 5: Solve for x
    x = 18,645.67/116.74
  6. Step 6: Final answer
    x = 159.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.