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Finding the Fourth Proportional to 85.87, 129.46 and 72.44

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Solution

The fourth proportional to 85.87, 129.46 and 72.44 is: 109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.87 : 129.46 = 72.44 : x
  2. Step 2: Convert to fraction form
    85.87/129.46 = 72.44/x
  3. Step 3: Cross multiply
    85.87x = 129.46 × 72.44
  4. Step 4: Simplify right side
    85.87x = 9,378.08
  5. Step 5: Solve for x
    x = 9,378.08/85.87
  6. Step 6: Final answer
    x = 109.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.