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Finding the Fourth Proportional to 49.52, 68.22 and 47.08

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Solution

The fourth proportional to 49.52, 68.22 and 47.08 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.52 : 68.22 = 47.08 : x
  2. Step 2: Convert to fraction form
    49.52/68.22 = 47.08/x
  3. Step 3: Cross multiply
    49.52x = 68.22 × 47.08
  4. Step 4: Simplify right side
    49.52x = 3,211.80
  5. Step 5: Solve for x
    x = 3,211.80/49.52
  6. Step 6: Final answer
    x = 64.86

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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.