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Finding the Fourth Proportional to 48.24, 72.28 and 27.96

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Solution

The fourth proportional to 48.24, 72.28 and 27.96 is: 41.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.24 : 72.28 = 27.96 : x
  2. Step 2: Convert to fraction form
    48.24/72.28 = 27.96/x
  3. Step 3: Cross multiply
    48.24x = 72.28 × 27.96
  4. Step 4: Simplify right side
    48.24x = 2,020.95
  5. Step 5: Solve for x
    x = 2,020.95/48.24
  6. Step 6: Final answer
    x = 41.89

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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.