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Finding the Fourth Proportional to 57.60, 78.96 and 56.70

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Solution

The fourth proportional to 57.60, 78.96 and 56.70 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.60 : 78.96 = 56.70 : x
  2. Step 2: Convert to fraction form
    57.60/78.96 = 56.70/x
  3. Step 3: Cross multiply
    57.60x = 78.96 × 56.70
  4. Step 4: Simplify right side
    57.60x = 4,477.03
  5. Step 5: Solve for x
    x = 4,477.03/57.60
  6. Step 6: Final answer
    x = 77.73

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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.