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Finding the Fourth Proportional to 48.93, 67.52 and 27.09

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Solution

The fourth proportional to 48.93, 67.52 and 27.09 is: 37.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.93 : 67.52 = 27.09 : x
  2. Step 2: Convert to fraction form
    48.93/67.52 = 27.09/x
  3. Step 3: Cross multiply
    48.93x = 67.52 × 27.09
  4. Step 4: Simplify right side
    48.93x = 1,829.31
  5. Step 5: Solve for x
    x = 1,829.31/48.93
  6. Step 6: Final answer
    x = 37.39

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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.