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Finding the Fourth Proportional to 55.38, 83.07 and 24.92

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Solution

The fourth proportional to 55.38, 83.07 and 24.92 is: 37.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.38 : 83.07 = 24.92 : x
  2. Step 2: Convert to fraction form
    55.38/83.07 = 24.92/x
  3. Step 3: Cross multiply
    55.38x = 83.07 × 24.92
  4. Step 4: Simplify right side
    55.38x = 2,069.69
  5. Step 5: Solve for x
    x = 2,069.69/55.38
  6. Step 6: Final answer
    x = 37.37

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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.