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Finding the Fourth Proportional to 48.96, 67.56 and 27.14

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Solution

The fourth proportional to 48.96, 67.56 and 27.14 is: 37.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.96 : 67.56 = 27.14 : x
  2. Step 2: Convert to fraction form
    48.96/67.56 = 27.14/x
  3. Step 3: Cross multiply
    48.96x = 67.56 × 27.14
  4. Step 4: Simplify right side
    48.96x = 1,833.24
  5. Step 5: Solve for x
    x = 1,833.24/48.96
  6. Step 6: Final answer
    x = 37.44

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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.