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Finding the Fourth Proportional to 48, 71.94 and 27.38

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Solution

The fourth proportional to 48, 71.94 and 27.38 is: 41.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 71.94 = 27.38 : x
  2. Step 2: Convert to fraction form
    48/71.94 = 27.38/x
  3. Step 3: Cross multiply
    48x = 71.94 × 27.38
  4. Step 4: Simplify right side
    48x = 1,969.72
  5. Step 5: Solve for x
    x = 1,969.72/48
  6. Step 6: Final answer
    x = 41.04

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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.