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Finding the Fourth Proportional to 57.56, 79.44 and 56.60

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Solution

The fourth proportional to 57.56, 79.44 and 56.60 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.56 : 79.44 = 56.60 : x
  2. Step 2: Convert to fraction form
    57.56/79.44 = 56.60/x
  3. Step 3: Cross multiply
    57.56x = 79.44 × 56.60
  4. Step 4: Simplify right side
    57.56x = 4,496.30
  5. Step 5: Solve for x
    x = 4,496.30/57.56
  6. Step 6: Final answer
    x = 78.12

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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.