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Finding the Fourth Proportional to 42.54, 58.74 and 30.27

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Solution

The fourth proportional to 42.54, 58.74 and 30.27 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.54 : 58.74 = 30.27 : x
  2. Step 2: Convert to fraction form
    42.54/58.74 = 30.27/x
  3. Step 3: Cross multiply
    42.54x = 58.74 × 30.27
  4. Step 4: Simplify right side
    42.54x = 1,778.06
  5. Step 5: Solve for x
    x = 1,778.06/42.54
  6. Step 6: Final answer
    x = 41.80

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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.