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Finding the Fourth Proportional to 57.12, 78.84 and 54.48

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Solution

The fourth proportional to 57.12, 78.84 and 54.48 is: 75.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 78.84 = 54.48 : x
  2. Step 2: Convert to fraction form
    57.12/78.84 = 54.48/x
  3. Step 3: Cross multiply
    57.12x = 78.84 × 54.48
  4. Step 4: Simplify right side
    57.12x = 4,295.20
  5. Step 5: Solve for x
    x = 4,295.20/57.12
  6. Step 6: Final answer
    x = 75.20

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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.