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Finding the Fourth Proportional to 116.88, 161.34 and 78.16

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Solution

The fourth proportional to 116.88, 161.34 and 78.16 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 161.34 = 78.16 : x
  2. Step 2: Convert to fraction form
    116.88/161.34 = 78.16/x
  3. Step 3: Cross multiply
    116.88x = 161.34 × 78.16
  4. Step 4: Simplify right side
    116.88x = 12,610.33
  5. Step 5: Solve for x
    x = 12,610.33/116.88
  6. Step 6: Final answer
    x = 107.89

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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.