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Finding the Fourth Proportional to 74.54, 102.84 and 54.92

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Solution

The fourth proportional to 74.54, 102.84 and 54.92 is: 75.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.54 : 102.84 = 54.92 : x
  2. Step 2: Convert to fraction form
    74.54/102.84 = 54.92/x
  3. Step 3: Cross multiply
    74.54x = 102.84 × 54.92
  4. Step 4: Simplify right side
    74.54x = 5,647.97
  5. Step 5: Solve for x
    x = 5,647.97/74.54
  6. Step 6: Final answer
    x = 75.77

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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.