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Finding the Fourth Proportional to 116.72, 161.09 and 73.07

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Solution

The fourth proportional to 116.72, 161.09 and 73.07 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 161.09 = 73.07 : x
  2. Step 2: Convert to fraction form
    116.72/161.09 = 73.07/x
  3. Step 3: Cross multiply
    116.72x = 161.09 × 73.07
  4. Step 4: Simplify right side
    116.72x = 11,769.68
  5. Step 5: Solve for x
    x = 11,769.68/116.72
  6. Step 6: Final answer
    x = 100.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.