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Finding the Fourth Proportional to 48.38, 72.63 and 38.12

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Solution

The fourth proportional to 48.38, 72.63 and 38.12 is: 57.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 72.63 = 38.12 : x
  2. Step 2: Convert to fraction form
    48.38/72.63 = 38.12/x
  3. Step 3: Cross multiply
    48.38x = 72.63 × 38.12
  4. Step 4: Simplify right side
    48.38x = 2,768.84
  5. Step 5: Solve for x
    x = 2,768.84/48.38
  6. Step 6: Final answer
    x = 57.23

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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.