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Finding the Fourth Proportional to 49.96, 69.32 and 48.16

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Solution

The fourth proportional to 49.96, 69.32 and 48.16 is: 66.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 69.32 = 48.16 : x
  2. Step 2: Convert to fraction form
    49.96/69.32 = 48.16/x
  3. Step 3: Cross multiply
    49.96x = 69.32 × 48.16
  4. Step 4: Simplify right side
    49.96x = 3,338.45
  5. Step 5: Solve for x
    x = 3,338.45/49.96
  6. Step 6: Final answer
    x = 66.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.