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Finding the Fourth Proportional to 133.51, 200.22 and 107.77

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Solution

The fourth proportional to 133.51, 200.22 and 107.77 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.51 : 200.22 = 107.77 : x
  2. Step 2: Convert to fraction form
    133.51/200.22 = 107.77/x
  3. Step 3: Cross multiply
    133.51x = 200.22 × 107.77
  4. Step 4: Simplify right side
    133.51x = 21,577.71
  5. Step 5: Solve for x
    x = 21,577.71/133.51
  6. Step 6: Final answer
    x = 161.62

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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.