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Finding the Fourth Proportional to 133.51, 200.22 and 52.33

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Solution

The fourth proportional to 133.51, 200.22 and 52.33 is: 78.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.51 : 200.22 = 52.33 : x
  2. Step 2: Convert to fraction form
    133.51/200.22 = 52.33/x
  3. Step 3: Cross multiply
    133.51x = 200.22 × 52.33
  4. Step 4: Simplify right side
    133.51x = 10,477.51
  5. Step 5: Solve for x
    x = 10,477.51/133.51
  6. Step 6: Final answer
    x = 78.48

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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.