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Finding the Fourth Proportional to 57.13, 78.38 and 54.03

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Solution

The fourth proportional to 57.13, 78.38 and 54.03 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.13 : 78.38 = 54.03 : x
  2. Step 2: Convert to fraction form
    57.13/78.38 = 54.03/x
  3. Step 3: Cross multiply
    57.13x = 78.38 × 54.03
  4. Step 4: Simplify right side
    57.13x = 4,234.21
  5. Step 5: Solve for x
    x = 4,234.21/57.13
  6. Step 6: Final answer
    x = 74.12

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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.