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Finding the Fourth Proportional to 47.84, 66.02 and 28.44

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Solution

The fourth proportional to 47.84, 66.02 and 28.44 is: 39.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 66.02 = 28.44 : x
  2. Step 2: Convert to fraction form
    47.84/66.02 = 28.44/x
  3. Step 3: Cross multiply
    47.84x = 66.02 × 28.44
  4. Step 4: Simplify right side
    47.84x = 1,877.47
  5. Step 5: Solve for x
    x = 1,877.47/47.84
  6. Step 6: Final answer
    x = 39.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.