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Finding the Fourth Proportional to 47.49, 71.16 and 28.20

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Solution

The fourth proportional to 47.49, 71.16 and 28.20 is: 42.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.49 : 71.16 = 28.20 : x
  2. Step 2: Convert to fraction form
    47.49/71.16 = 28.20/x
  3. Step 3: Cross multiply
    47.49x = 71.16 × 28.20
  4. Step 4: Simplify right side
    47.49x = 2,006.71
  5. Step 5: Solve for x
    x = 2,006.71/47.49
  6. Step 6: Final answer
    x = 42.26

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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.