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Finding the Fourth Proportional to 57.63, 86.87 and 49.56

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Solution

The fourth proportional to 57.63, 86.87 and 49.56 is: 74.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.63 : 86.87 = 49.56 : x
  2. Step 2: Convert to fraction form
    57.63/86.87 = 49.56/x
  3. Step 3: Cross multiply
    57.63x = 86.87 × 49.56
  4. Step 4: Simplify right side
    57.63x = 4,305.81
  5. Step 5: Solve for x
    x = 4,305.81/57.63
  6. Step 6: Final answer
    x = 74.72

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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.