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Finding the Fourth Proportional to 134.73, 202.10 and 38.52

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Solution

The fourth proportional to 134.73, 202.10 and 38.52 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.73 : 202.10 = 38.52 : x
  2. Step 2: Convert to fraction form
    134.73/202.10 = 38.52/x
  3. Step 3: Cross multiply
    134.73x = 202.10 × 38.52
  4. Step 4: Simplify right side
    134.73x = 7,784.70
  5. Step 5: Solve for x
    x = 7,784.70/134.73
  6. Step 6: Final answer
    x = 57.78

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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.