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Finding the Fourth Proportional to 49.75, 74.12 and 46.80

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Solution

The fourth proportional to 49.75, 74.12 and 46.80 is: 69.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 74.12 = 46.80 : x
  2. Step 2: Convert to fraction form
    49.75/74.12 = 46.80/x
  3. Step 3: Cross multiply
    49.75x = 74.12 × 46.80
  4. Step 4: Simplify right side
    49.75x = 3,468.82
  5. Step 5: Solve for x
    x = 3,468.82/49.75
  6. Step 6: Final answer
    x = 69.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.