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Finding the Fourth Proportional to 57.48, 78.78 and 54.60

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Solution

The fourth proportional to 57.48, 78.78 and 54.60 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.48 : 78.78 = 54.60 : x
  2. Step 2: Convert to fraction form
    57.48/78.78 = 54.60/x
  3. Step 3: Cross multiply
    57.48x = 78.78 × 54.60
  4. Step 4: Simplify right side
    57.48x = 4,301.39
  5. Step 5: Solve for x
    x = 4,301.39/57.48
  6. Step 6: Final answer
    x = 74.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.