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Finding the Fourth Proportional to 48.23, 72.14 and 33.78

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Solution

The fourth proportional to 48.23, 72.14 and 33.78 is: 50.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 72.14 = 33.78 : x
  2. Step 2: Convert to fraction form
    48.23/72.14 = 33.78/x
  3. Step 3: Cross multiply
    48.23x = 72.14 × 33.78
  4. Step 4: Simplify right side
    48.23x = 2,436.72
  5. Step 5: Solve for x
    x = 2,436.72/48.23
  6. Step 6: Final answer
    x = 50.53

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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.