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Finding the Fourth Proportional to 49.92, 68.54 and 48.08

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Solution

The fourth proportional to 49.92, 68.54 and 48.08 is: 66.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 68.54 = 48.08 : x
  2. Step 2: Convert to fraction form
    49.92/68.54 = 48.08/x
  3. Step 3: Cross multiply
    49.92x = 68.54 × 48.08
  4. Step 4: Simplify right side
    49.92x = 3,295.40
  5. Step 5: Solve for x
    x = 3,295.40/49.92
  6. Step 6: Final answer
    x = 66.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.