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Finding the Fourth Proportional to 84.72, 116.58 and 78.09

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Solution

The fourth proportional to 84.72, 116.58 and 78.09 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.72 : 116.58 = 78.09 : x
  2. Step 2: Convert to fraction form
    84.72/116.58 = 78.09/x
  3. Step 3: Cross multiply
    84.72x = 116.58 × 78.09
  4. Step 4: Simplify right side
    84.72x = 9,103.73
  5. Step 5: Solve for x
    x = 9,103.73/84.72
  6. Step 6: Final answer
    x = 107.46

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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.