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Finding the Fourth Proportional to 78.82, 108.70 and 69.62

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Solution

The fourth proportional to 78.82, 108.70 and 69.62 is: 96.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 108.70 = 69.62 : x
  2. Step 2: Convert to fraction form
    78.82/108.70 = 69.62/x
  3. Step 3: Cross multiply
    78.82x = 108.70 × 69.62
  4. Step 4: Simplify right side
    78.82x = 7,567.69
  5. Step 5: Solve for x
    x = 7,567.69/78.82
  6. Step 6: Final answer
    x = 96.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.