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Finding the Fourth Proportional to 78.82, 118.22 and 65.38

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Solution

The fourth proportional to 78.82, 118.22 and 65.38 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 118.22 = 65.38 : x
  2. Step 2: Convert to fraction form
    78.82/118.22 = 65.38/x
  3. Step 3: Cross multiply
    78.82x = 118.22 × 65.38
  4. Step 4: Simplify right side
    78.82x = 7,729.22
  5. Step 5: Solve for x
    x = 7,729.22/78.82
  6. Step 6: Final answer
    x = 98.06

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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.