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Finding the Fourth Proportional to 74.57, 102.84 and 49.96

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Solution

The fourth proportional to 74.57, 102.84 and 49.96 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.57 : 102.84 = 49.96 : x
  2. Step 2: Convert to fraction form
    74.57/102.84 = 49.96/x
  3. Step 3: Cross multiply
    74.57x = 102.84 × 49.96
  4. Step 4: Simplify right side
    74.57x = 5,137.63
  5. Step 5: Solve for x
    x = 5,137.63/74.57
  6. Step 6: Final answer
    x = 68.90

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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.