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Finding the Fourth Proportional to 57.04, 78.20 and 56.02

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Solution

The fourth proportional to 57.04, 78.20 and 56.02 is: 76.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.04 : 78.20 = 56.02 : x
  2. Step 2: Convert to fraction form
    57.04/78.20 = 56.02/x
  3. Step 3: Cross multiply
    57.04x = 78.20 × 56.02
  4. Step 4: Simplify right side
    57.04x = 4,380.56
  5. Step 5: Solve for x
    x = 4,380.56/57.04
  6. Step 6: Final answer
    x = 76.80

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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.