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Finding the Fourth Proportional to 57.05, 78.82 and 46.76

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Solution

The fourth proportional to 57.05, 78.82 and 46.76 is: 64.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 78.82 = 46.76 : x
  2. Step 2: Convert to fraction form
    57.05/78.82 = 46.76/x
  3. Step 3: Cross multiply
    57.05x = 78.82 × 46.76
  4. Step 4: Simplify right side
    57.05x = 3,685.82
  5. Step 5: Solve for x
    x = 3,685.82/57.05
  6. Step 6: Final answer
    x = 64.60

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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.