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Finding the Fourth Proportional to 52.23, 78.33 and 40.83

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Solution

The fourth proportional to 52.23, 78.33 and 40.83 is: 61.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.33 = 40.83 : x
  2. Step 2: Convert to fraction form
    52.23/78.33 = 40.83/x
  3. Step 3: Cross multiply
    52.23x = 78.33 × 40.83
  4. Step 4: Simplify right side
    52.23x = 3,198.21
  5. Step 5: Solve for x
    x = 3,198.21/52.23
  6. Step 6: Final answer
    x = 61.23

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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.