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Finding the Fourth Proportional to 57.63, 79.55 and 36.96

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Solution

The fourth proportional to 57.63, 79.55 and 36.96 is: 51.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.63 : 79.55 = 36.96 : x
  2. Step 2: Convert to fraction form
    57.63/79.55 = 36.96/x
  3. Step 3: Cross multiply
    57.63x = 79.55 × 36.96
  4. Step 4: Simplify right side
    57.63x = 2,940.17
  5. Step 5: Solve for x
    x = 2,940.17/57.63
  6. Step 6: Final answer
    x = 51.02

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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.