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Finding the Fourth Proportional to 107.31, 147.82 and 85.44

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Solution

The fourth proportional to 107.31, 147.82 and 85.44 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 147.82 = 85.44 : x
  2. Step 2: Convert to fraction form
    107.31/147.82 = 85.44/x
  3. Step 3: Cross multiply
    107.31x = 147.82 × 85.44
  4. Step 4: Simplify right side
    107.31x = 12,628.97
  5. Step 5: Solve for x
    x = 12,628.97/107.31
  6. Step 6: Final answer
    x = 117.69

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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.