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Finding the Fourth Proportional to 63.25, 87.29 and 41.46

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Solution

The fourth proportional to 63.25, 87.29 and 41.46 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.25 : 87.29 = 41.46 : x
  2. Step 2: Convert to fraction form
    63.25/87.29 = 41.46/x
  3. Step 3: Cross multiply
    63.25x = 87.29 × 41.46
  4. Step 4: Simplify right side
    63.25x = 3,619.04
  5. Step 5: Solve for x
    x = 3,619.04/63.25
  6. Step 6: Final answer
    x = 57.22

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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.