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Finding the Fourth Proportional to 74.92, 103.41 and 53.05

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Solution

The fourth proportional to 74.92, 103.41 and 53.05 is: 73.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.92 : 103.41 = 53.05 : x
  2. Step 2: Convert to fraction form
    74.92/103.41 = 53.05/x
  3. Step 3: Cross multiply
    74.92x = 103.41 × 53.05
  4. Step 4: Simplify right side
    74.92x = 5,485.90
  5. Step 5: Solve for x
    x = 5,485.90/74.92
  6. Step 6: Final answer
    x = 73.22

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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.