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Finding the Fourth Proportional to 133.26, 199.85 and 52.08

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Solution

The fourth proportional to 133.26, 199.85 and 52.08 is: 78.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 199.85 = 52.08 : x
  2. Step 2: Convert to fraction form
    133.26/199.85 = 52.08/x
  3. Step 3: Cross multiply
    133.26x = 199.85 × 52.08
  4. Step 4: Simplify right side
    133.26x = 10,407.93
  5. Step 5: Solve for x
    x = 10,407.93/133.26
  6. Step 6: Final answer
    x = 78.10

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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.