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Finding the Fourth Proportional to 57.36, 85.62 and 52.56

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Solution

The fourth proportional to 57.36, 85.62 and 52.56 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.36 : 85.62 = 52.56 : x
  2. Step 2: Convert to fraction form
    57.36/85.62 = 52.56/x
  3. Step 3: Cross multiply
    57.36x = 85.62 × 52.56
  4. Step 4: Simplify right side
    57.36x = 4,500.19
  5. Step 5: Solve for x
    x = 4,500.19/57.36
  6. Step 6: Final answer
    x = 78.46

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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.