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Finding the Fourth Proportional to 116.67, 161.01 and 64.92

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Solution

The fourth proportional to 116.67, 161.01 and 64.92 is: 89.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.67 : 161.01 = 64.92 : x
  2. Step 2: Convert to fraction form
    116.67/161.01 = 64.92/x
  3. Step 3: Cross multiply
    116.67x = 161.01 × 64.92
  4. Step 4: Simplify right side
    116.67x = 10,452.89
  5. Step 5: Solve for x
    x = 10,452.89/116.67
  6. Step 6: Final answer
    x = 89.59

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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.