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Finding the Fourth Proportional to 133.25, 199.81 and 52.07

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Solution

The fourth proportional to 133.25, 199.81 and 52.07 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 199.81 = 52.07 : x
  2. Step 2: Convert to fraction form
    133.25/199.81 = 52.07/x
  3. Step 3: Cross multiply
    133.25x = 199.81 × 52.07
  4. Step 4: Simplify right side
    133.25x = 10,402.98
  5. Step 5: Solve for x
    x = 10,402.98/133.25
  6. Step 6: Final answer
    x = 78.07

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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.