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Finding the Fourth Proportional to 63.25, 87.29 and 42.56

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Solution

The fourth proportional to 63.25, 87.29 and 42.56 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.25 : 87.29 = 42.56 : x
  2. Step 2: Convert to fraction form
    63.25/87.29 = 42.56/x
  3. Step 3: Cross multiply
    63.25x = 87.29 × 42.56
  4. Step 4: Simplify right side
    63.25x = 3,715.06
  5. Step 5: Solve for x
    x = 3,715.06/63.25
  6. Step 6: Final answer
    x = 58.74

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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.