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Finding the Fourth Proportional to 116.73, 161.08 and 64.27

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Solution

The fourth proportional to 116.73, 161.08 and 64.27 is: 88.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.73 : 161.08 = 64.27 : x
  2. Step 2: Convert to fraction form
    116.73/161.08 = 64.27/x
  3. Step 3: Cross multiply
    116.73x = 161.08 × 64.27
  4. Step 4: Simplify right side
    116.73x = 10,352.61
  5. Step 5: Solve for x
    x = 10,352.61/116.73
  6. Step 6: Final answer
    x = 88.69

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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.