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Finding the Fourth Proportional to 48.28, 72.50 and 39.78

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Solution

The fourth proportional to 48.28, 72.50 and 39.78 is: 59.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 72.50 = 39.78 : x
  2. Step 2: Convert to fraction form
    48.28/72.50 = 39.78/x
  3. Step 3: Cross multiply
    48.28x = 72.50 × 39.78
  4. Step 4: Simplify right side
    48.28x = 2,884.05
  5. Step 5: Solve for x
    x = 2,884.05/48.28
  6. Step 6: Final answer
    x = 59.74

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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.