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Finding the Fourth Proportional to 48.84, 73.28 and 16.78

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Solution

The fourth proportional to 48.84, 73.28 and 16.78 is: 25.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.84 : 73.28 = 16.78 : x
  2. Step 2: Convert to fraction form
    48.84/73.28 = 16.78/x
  3. Step 3: Cross multiply
    48.84x = 73.28 × 16.78
  4. Step 4: Simplify right side
    48.84x = 1,229.64
  5. Step 5: Solve for x
    x = 1,229.64/48.84
  6. Step 6: Final answer
    x = 25.18

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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.