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Finding the Fourth Proportional to 57, 78.68 and 39.54

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Solution

The fourth proportional to 57, 78.68 and 39.54 is: 54.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 78.68 = 39.54 : x
  2. Step 2: Convert to fraction form
    57/78.68 = 39.54/x
  3. Step 3: Cross multiply
    57x = 78.68 × 39.54
  4. Step 4: Simplify right side
    57x = 3,110.81
  5. Step 5: Solve for x
    x = 3,110.81/57
  6. Step 6: Final answer
    x = 54.58

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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.