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Finding the Fourth Proportional to 70.52, 105.68 and 36.25

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Solution

The fourth proportional to 70.52, 105.68 and 36.25 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 105.68 = 36.25 : x
  2. Step 2: Convert to fraction form
    70.52/105.68 = 36.25/x
  3. Step 3: Cross multiply
    70.52x = 105.68 × 36.25
  4. Step 4: Simplify right side
    70.52x = 3,830.73
  5. Step 5: Solve for x
    x = 3,830.73/70.52
  6. Step 6: Final answer
    x = 54.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.