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Finding the Fourth Proportional to 135.20, 202.82 and 39.02

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Solution

The fourth proportional to 135.20, 202.82 and 39.02 is: 58.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.20 : 202.82 = 39.02 : x
  2. Step 2: Convert to fraction form
    135.20/202.82 = 39.02/x
  3. Step 3: Cross multiply
    135.20x = 202.82 × 39.02
  4. Step 4: Simplify right side
    135.20x = 7,914.04
  5. Step 5: Solve for x
    x = 7,914.04/135.20
  6. Step 6: Final answer
    x = 58.54

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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.