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Finding the Fourth Proportional to 116.73, 161.05 and 102.10

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Solution

The fourth proportional to 116.73, 161.05 and 102.10 is: 140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.73 : 161.05 = 102.10 : x
  2. Step 2: Convert to fraction form
    116.73/161.05 = 102.10/x
  3. Step 3: Cross multiply
    116.73x = 161.05 × 102.10
  4. Step 4: Simplify right side
    116.73x = 16,443.21
  5. Step 5: Solve for x
    x = 16,443.21/116.73
  6. Step 6: Final answer
    x = 140.87

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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.