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Finding the Fourth Proportional to 134.92, 202.24 and 73.90

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Solution

The fourth proportional to 134.92, 202.24 and 73.90 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.92 : 202.24 = 73.90 : x
  2. Step 2: Convert to fraction form
    134.92/202.24 = 73.90/x
  3. Step 3: Cross multiply
    134.92x = 202.24 × 73.90
  4. Step 4: Simplify right side
    134.92x = 14,945.54
  5. Step 5: Solve for x
    x = 14,945.54/134.92
  6. Step 6: Final answer
    x = 110.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.