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Finding the Fourth Proportional to 74.28, 102.52 and 49.74

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Solution

The fourth proportional to 74.28, 102.52 and 49.74 is: 68.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.28 : 102.52 = 49.74 : x
  2. Step 2: Convert to fraction form
    74.28/102.52 = 49.74/x
  3. Step 3: Cross multiply
    74.28x = 102.52 × 49.74
  4. Step 4: Simplify right side
    74.28x = 5,099.34
  5. Step 5: Solve for x
    x = 5,099.34/74.28
  6. Step 6: Final answer
    x = 68.65

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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.