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Finding the Fourth Proportional to 48.96, 67.68 and 37.44

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Solution

The fourth proportional to 48.96, 67.68 and 37.44 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.96 : 67.68 = 37.44 : x
  2. Step 2: Convert to fraction form
    48.96/67.68 = 37.44/x
  3. Step 3: Cross multiply
    48.96x = 67.68 × 37.44
  4. Step 4: Simplify right side
    48.96x = 2,533.94
  5. Step 5: Solve for x
    x = 2,533.94/48.96
  6. Step 6: Final answer
    x = 51.76

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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.