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Finding the Fourth Proportional to 116.67, 161.04 and 70.02

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Solution

The fourth proportional to 116.67, 161.04 and 70.02 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.67 : 161.04 = 70.02 : x
  2. Step 2: Convert to fraction form
    116.67/161.04 = 70.02/x
  3. Step 3: Cross multiply
    116.67x = 161.04 × 70.02
  4. Step 4: Simplify right side
    116.67x = 11,276.02
  5. Step 5: Solve for x
    x = 11,276.02/116.67
  6. Step 6: Final answer
    x = 96.65

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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.