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Finding the Fourth Proportional to 133.83, 201.15 and 107.10

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Solution

The fourth proportional to 133.83, 201.15 and 107.10 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.83 : 201.15 = 107.10 : x
  2. Step 2: Convert to fraction form
    133.83/201.15 = 107.10/x
  3. Step 3: Cross multiply
    133.83x = 201.15 × 107.10
  4. Step 4: Simplify right side
    133.83x = 21,543.17
  5. Step 5: Solve for x
    x = 21,543.17/133.83
  6. Step 6: Final answer
    x = 160.97

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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.