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Finding the Fourth Proportional to 49.96, 74.94 and 27.10

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Solution

The fourth proportional to 49.96, 74.94 and 27.10 is: 40.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 74.94 = 27.10 : x
  2. Step 2: Convert to fraction form
    49.96/74.94 = 27.10/x
  3. Step 3: Cross multiply
    49.96x = 74.94 × 27.10
  4. Step 4: Simplify right side
    49.96x = 2,030.87
  5. Step 5: Solve for x
    x = 2,030.87/49.96
  6. Step 6: Final answer
    x = 40.65

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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.