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Finding the Fourth Proportional to 48.56, 72.92 and 28.28

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Solution

The fourth proportional to 48.56, 72.92 and 28.28 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.56 : 72.92 = 28.28 : x
  2. Step 2: Convert to fraction form
    48.56/72.92 = 28.28/x
  3. Step 3: Cross multiply
    48.56x = 72.92 × 28.28
  4. Step 4: Simplify right side
    48.56x = 2,062.18
  5. Step 5: Solve for x
    x = 2,062.18/48.56
  6. Step 6: Final answer
    x = 42.47

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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.