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Finding the Fourth Proportional to 48.78, 67.27 and 32.38

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Solution

The fourth proportional to 48.78, 67.27 and 32.38 is: 44.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.78 : 67.27 = 32.38 : x
  2. Step 2: Convert to fraction form
    48.78/67.27 = 32.38/x
  3. Step 3: Cross multiply
    48.78x = 67.27 × 32.38
  4. Step 4: Simplify right side
    48.78x = 2,178.20
  5. Step 5: Solve for x
    x = 2,178.20/48.78
  6. Step 6: Final answer
    x = 44.65

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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.