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Finding the Fourth Proportional to 78.82, 108.33 and 69.55

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Solution

The fourth proportional to 78.82, 108.33 and 69.55 is: 95.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 108.33 = 69.55 : x
  2. Step 2: Convert to fraction form
    78.82/108.33 = 69.55/x
  3. Step 3: Cross multiply
    78.82x = 108.33 × 69.55
  4. Step 4: Simplify right side
    78.82x = 7,534.49
  5. Step 5: Solve for x
    x = 7,534.49/78.82
  6. Step 6: Final answer
    x = 95.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.