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Finding the Fourth Proportional to 133.25, 199.86 and 52.15

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Solution

The fourth proportional to 133.25, 199.86 and 52.15 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 199.86 = 52.15 : x
  2. Step 2: Convert to fraction form
    133.25/199.86 = 52.15/x
  3. Step 3: Cross multiply
    133.25x = 199.86 × 52.15
  4. Step 4: Simplify right side
    133.25x = 10,423.39
  5. Step 5: Solve for x
    x = 10,423.39/133.25
  6. Step 6: Final answer
    x = 78.22

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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.