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Finding the Fourth Proportional to 116.86, 161.22 and 70.24

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Solution

The fourth proportional to 116.86, 161.22 and 70.24 is: 96.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.86 : 161.22 = 70.24 : x
  2. Step 2: Convert to fraction form
    116.86/161.22 = 70.24/x
  3. Step 3: Cross multiply
    116.86x = 161.22 × 70.24
  4. Step 4: Simplify right side
    116.86x = 11,324.09
  5. Step 5: Solve for x
    x = 11,324.09/116.86
  6. Step 6: Final answer
    x = 96.90

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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.