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Finding the Fourth Proportional to 57.44, 85.77 and 52.31

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Solution

The fourth proportional to 57.44, 85.77 and 52.31 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 85.77 = 52.31 : x
  2. Step 2: Convert to fraction form
    57.44/85.77 = 52.31/x
  3. Step 3: Cross multiply
    57.44x = 85.77 × 52.31
  4. Step 4: Simplify right side
    57.44x = 4,486.37
  5. Step 5: Solve for x
    x = 4,486.37/57.44
  6. Step 6: Final answer
    x = 78.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.