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Finding the Fourth Proportional to 49.81, 68.72 and 38.16

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Solution

The fourth proportional to 49.81, 68.72 and 38.16 is: 52.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.81 : 68.72 = 38.16 : x
  2. Step 2: Convert to fraction form
    49.81/68.72 = 38.16/x
  3. Step 3: Cross multiply
    49.81x = 68.72 × 38.16
  4. Step 4: Simplify right side
    49.81x = 2,622.36
  5. Step 5: Solve for x
    x = 2,622.36/49.81
  6. Step 6: Final answer
    x = 52.65

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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.