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Finding the Fourth Proportional to 49.52, 68.66 and 48.02

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Solution

The fourth proportional to 49.52, 68.66 and 48.02 is: 66.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.52 : 68.66 = 48.02 : x
  2. Step 2: Convert to fraction form
    49.52/68.66 = 48.02/x
  3. Step 3: Cross multiply
    49.52x = 68.66 × 48.02
  4. Step 4: Simplify right side
    49.52x = 3,297.05
  5. Step 5: Solve for x
    x = 3,297.05/49.52
  6. Step 6: Final answer
    x = 66.58

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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.