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Finding the Fourth Proportional to 49.44, 67.36 and 49.28

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Solution

The fourth proportional to 49.44, 67.36 and 49.28 is: 67.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.44 : 67.36 = 49.28 : x
  2. Step 2: Convert to fraction form
    49.44/67.36 = 49.28/x
  3. Step 3: Cross multiply
    49.44x = 67.36 × 49.28
  4. Step 4: Simplify right side
    49.44x = 3,319.50
  5. Step 5: Solve for x
    x = 3,319.50/49.44
  6. Step 6: Final answer
    x = 67.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.