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Finding the Fourth Proportional to 75.33, 113.01 and 21.23

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Solution

The fourth proportional to 75.33, 113.01 and 21.23 is: 31.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.33 : 113.01 = 21.23 : x
  2. Step 2: Convert to fraction form
    75.33/113.01 = 21.23/x
  3. Step 3: Cross multiply
    75.33x = 113.01 × 21.23
  4. Step 4: Simplify right side
    75.33x = 2,399.20
  5. Step 5: Solve for x
    x = 2,399.20/75.33
  6. Step 6: Final answer
    x = 31.85

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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.