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Finding the Fourth Proportional to 116.96, 161.38 and 78.16

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Solution

The fourth proportional to 116.96, 161.38 and 78.16 is: 107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.96 : 161.38 = 78.16 : x
  2. Step 2: Convert to fraction form
    116.96/161.38 = 78.16/x
  3. Step 3: Cross multiply
    116.96x = 161.38 × 78.16
  4. Step 4: Simplify right side
    116.96x = 12,613.46
  5. Step 5: Solve for x
    x = 12,613.46/116.96
  6. Step 6: Final answer
    x = 107.84

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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.