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Finding the Fourth Proportional to 78.97, 118.48 and 65.29

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Solution

The fourth proportional to 78.97, 118.48 and 65.29 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.97 : 118.48 = 65.29 : x
  2. Step 2: Convert to fraction form
    78.97/118.48 = 65.29/x
  3. Step 3: Cross multiply
    78.97x = 118.48 × 65.29
  4. Step 4: Simplify right side
    78.97x = 7,735.56
  5. Step 5: Solve for x
    x = 7,735.56/78.97
  6. Step 6: Final answer
    x = 97.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.