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Finding the Fourth Proportional to 74.48, 102.82 and 49.92

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Solution

The fourth proportional to 74.48, 102.82 and 49.92 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 102.82 = 49.92 : x
  2. Step 2: Convert to fraction form
    74.48/102.82 = 49.92/x
  3. Step 3: Cross multiply
    74.48x = 102.82 × 49.92
  4. Step 4: Simplify right side
    74.48x = 5,132.77
  5. Step 5: Solve for x
    x = 5,132.77/74.48
  6. Step 6: Final answer
    x = 68.91

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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.