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Finding the Fourth Proportional to 74.50, 102.86 and 49.64

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Solution

The fourth proportional to 74.50, 102.86 and 49.64 is: 68.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 102.86 = 49.64 : x
  2. Step 2: Convert to fraction form
    74.50/102.86 = 49.64/x
  3. Step 3: Cross multiply
    74.50x = 102.86 × 49.64
  4. Step 4: Simplify right side
    74.50x = 5,105.97
  5. Step 5: Solve for x
    x = 5,105.97/74.50
  6. Step 6: Final answer
    x = 68.54

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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.