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Finding the Fourth Proportional to 60.23, 83.09 and 39.54

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Solution

The fourth proportional to 60.23, 83.09 and 39.54 is: 54.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.23 : 83.09 = 39.54 : x
  2. Step 2: Convert to fraction form
    60.23/83.09 = 39.54/x
  3. Step 3: Cross multiply
    60.23x = 83.09 × 39.54
  4. Step 4: Simplify right side
    60.23x = 3,285.38
  5. Step 5: Solve for x
    x = 3,285.38/60.23
  6. Step 6: Final answer
    x = 54.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.