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Finding the Fourth Proportional to 57.48, 78.83 and 56.49

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Solution

The fourth proportional to 57.48, 78.83 and 56.49 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.48 : 78.83 = 56.49 : x
  2. Step 2: Convert to fraction form
    57.48/78.83 = 56.49/x
  3. Step 3: Cross multiply
    57.48x = 78.83 × 56.49
  4. Step 4: Simplify right side
    57.48x = 4,453.11
  5. Step 5: Solve for x
    x = 4,453.11/57.48
  6. Step 6: Final answer
    x = 77.47

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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.