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Finding the Fourth Proportional to 57.41, 78.99 and 47.69

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Solution

The fourth proportional to 57.41, 78.99 and 47.69 is: 65.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.41 : 78.99 = 47.69 : x
  2. Step 2: Convert to fraction form
    57.41/78.99 = 47.69/x
  3. Step 3: Cross multiply
    57.41x = 78.99 × 47.69
  4. Step 4: Simplify right side
    57.41x = 3,767.05
  5. Step 5: Solve for x
    x = 3,767.05/57.41
  6. Step 6: Final answer
    x = 65.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.