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Finding the Fourth Proportional to 57.05, 78.71 and 33.74

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Solution

The fourth proportional to 57.05, 78.71 and 33.74 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 78.71 = 33.74 : x
  2. Step 2: Convert to fraction form
    57.05/78.71 = 33.74/x
  3. Step 3: Cross multiply
    57.05x = 78.71 × 33.74
  4. Step 4: Simplify right side
    57.05x = 2,655.11
  5. Step 5: Solve for x
    x = 2,655.11/57.05
  6. Step 6: Final answer
    x = 46.54

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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.