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Finding the Fourth Proportional to 52.39, 78.49 and 28.27

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Solution

The fourth proportional to 52.39, 78.49 and 28.27 is: 42.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.39 : 78.49 = 28.27 : x
  2. Step 2: Convert to fraction form
    52.39/78.49 = 28.27/x
  3. Step 3: Cross multiply
    52.39x = 78.49 × 28.27
  4. Step 4: Simplify right side
    52.39x = 2,218.91
  5. Step 5: Solve for x
    x = 2,218.91/52.39
  6. Step 6: Final answer
    x = 42.35

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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.