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Finding the Fourth Proportional to 52.56, 78.84 and 20.52

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Solution

The fourth proportional to 52.56, 78.84 and 20.52 is: 30.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 78.84 = 20.52 : x
  2. Step 2: Convert to fraction form
    52.56/78.84 = 20.52/x
  3. Step 3: Cross multiply
    52.56x = 78.84 × 20.52
  4. Step 4: Simplify right side
    52.56x = 1,617.80
  5. Step 5: Solve for x
    x = 1,617.80/52.56
  6. Step 6: Final answer
    x = 30.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.