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Finding the Fourth Proportional to 49.96, 74.97 and 42.78

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Solution

The fourth proportional to 49.96, 74.97 and 42.78 is: 64.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 74.97 = 42.78 : x
  2. Step 2: Convert to fraction form
    49.96/74.97 = 42.78/x
  3. Step 3: Cross multiply
    49.96x = 74.97 × 42.78
  4. Step 4: Simplify right side
    49.96x = 3,207.28
  5. Step 5: Solve for x
    x = 3,207.28/49.96
  6. Step 6: Final answer
    x = 64.20

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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.