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Finding the Fourth Proportional to 50.49, 75.78 and 27.65

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Solution

The fourth proportional to 50.49, 75.78 and 27.65 is: 41.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.49 : 75.78 = 27.65 : x
  2. Step 2: Convert to fraction form
    50.49/75.78 = 27.65/x
  3. Step 3: Cross multiply
    50.49x = 75.78 × 27.65
  4. Step 4: Simplify right side
    50.49x = 2,094.80
  5. Step 5: Solve for x
    x = 2,094.80/50.49
  6. Step 6: Final answer
    x = 41.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.