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Finding the Fourth Proportional to 49.55, 68.28 and 47.27

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Solution

The fourth proportional to 49.55, 68.28 and 47.27 is: 65.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.55 : 68.28 = 47.27 : x
  2. Step 2: Convert to fraction form
    49.55/68.28 = 47.27/x
  3. Step 3: Cross multiply
    49.55x = 68.28 × 47.27
  4. Step 4: Simplify right side
    49.55x = 3,227.25
  5. Step 5: Solve for x
    x = 3,227.25/49.55
  6. Step 6: Final answer
    x = 65.14

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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.