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Finding the Fourth Proportional to 145.82, 201.24 and 80.33

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Solution

The fourth proportional to 145.82, 201.24 and 80.33 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.82 : 201.24 = 80.33 : x
  2. Step 2: Convert to fraction form
    145.82/201.24 = 80.33/x
  3. Step 3: Cross multiply
    145.82x = 201.24 × 80.33
  4. Step 4: Simplify right side
    145.82x = 16,164.30
  5. Step 5: Solve for x
    x = 16,164.30/145.82
  6. Step 6: Final answer
    x = 110.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.